>From Andrew:
-----
l3backend was the only missing package I was aware of. There are various MiKTeX
log files available. You need to dig deep to find them. On my system
they're at

C:\Users\Andrew\AppData\Local\MiKTeX\2.9\miktex\log


See which ones are getting added to when you try to run LyX (sort them by
date/time)
-----

I am the embodiment of the digital age frogman.  Digging deep is what I
do.  Parse it, hex edit, sed, grep, and awk, compile, decompile, debug, and
log...

bit@bitbucket MINGW64 ~/AppData/Local/MiKTeX/2.9/miktex/log
$ ls -rt * | xargs grep  cls
kpsewhich.log:2019-07-13 11:32:46,821-0500 INFO  kpsewhich - starting with
command line: kpsewhich.exe article.cls
latex.log:2017-11-15 13:33:53,532-0600 INFO  latex - installing package
ieeetran triggered by tex\latex\ieeetran\IEEEtran.cls
latex.log:2017-11-15 13:34:00,298-0600 INFO  latex - installing package
a0poster triggered by tex\latex\a0poster\a0poster.cls
latex.log:2017-11-15 13:34:03,097-0600 INFO  latex - installing package
aastex triggered by tex\latex\aastex\aastex6.cls
latex.log:2017-11-15 13:34:10,346-0600 INFO  latex - installing package
achemso triggered by tex\latex\achemso\achemso.cls
latex.log:2017-11-15 13:34:28,377-0600 INFO  latex - installing package
aguplus triggered by tex\latex\aguplus\aguplus.cls
latex.log:2017-11-15 13:34:31,743-0600 INFO  latex - installing package
apa6 triggered by tex\latex\apa6\apa6.cls
latex.log:2017-11-15 13:34:41,925-0600 INFO  latex - installing package apa
triggered by tex\latex\apa\apa.cls
latex.log:2017-11-15 13:34:44,424-0600 INFO  latex - installing package
arabtex triggered by tex\latex\arabtex\arabart.cls
latex.log:2017-11-15 13:35:05,887-0600 INFO  latex - installing package
ctex triggered by tex\latex\ctex\ctexart.cls
latex.log:2017-11-15 13:35:16,936-0600 INFO  latex - installing package
dinbrief triggered by tex\latex\dinbrief\dinbrief.cls
latex.log:2017-11-15 13:35:23,718-0600 INFO  latex - installing package dtk
triggered by tex\latex\dtk\dtk.cls
latex.log:2017-11-15 13:35:36,352-0600 INFO  latex - installing package
elsarticle triggered by tex\latex\elsarticle\elsarticle.cls
latex.log:2017-11-15 13:35:39,934-0600 INFO  latex - installing package
elsevier triggered by tex\latex\elsevier\elsart.cls
latex.log:2017-11-15 13:35:43,356-0600 INFO  latex - installing package
europasscv triggered by tex\latex\europasscv\europasscv.cls
latex.log:2017-11-15 13:35:59,061-0600 INFO  latex - installing package
europecv triggered by tex\latex\europecv\europecv.cls
latex.log:2017-11-15 13:36:09,248-0600 INFO  latex - installing package
extsizes triggered by tex\latex\extsizes\extarticle.cls
latex.log:2017-11-15 13:36:11,701-0600 INFO  latex - installing package
frletter triggered by tex\latex\frletter\frletter.cls
latex.log:2017-11-15 13:36:13,764-0600 INFO  latex - installing package
g-brief triggered by tex\latex\g-brief\g-brief2.cls
latex.log:2017-11-15 13:36:16,498-0600 INFO  latex - installing package
platex triggered by tex\platex\base\jarticle.cls
latex.log:2017-11-15 13:36:23,716-0600 INFO  latex - installing package
jsclasses triggered by tex\platex\jsclasses\jsarticle.cls
latex.log:2017-11-15 13:36:34,419-0600 INFO  latex - installing package
kluwer triggered by tex\latex\kluwer\kluwer.cls
latex.log:2017-11-15 13:36:37,278-0600 INFO  latex - installing package
lettre triggered by tex\latex\lettre\lettre.cls
latex.log:2017-11-15 13:36:41,169-0600 INFO  latex - installing package
tugboat triggered by tex\latex\tugboat\ltugboat.cls
latex.log:2017-11-15 13:36:44,872-0600 INFO  latex - installing package
memoir triggered by tex\latex\memoir\memoir.cls
latex.log:2017-11-15 13:36:53,574-0600 INFO  latex - installing package
moderncv triggered by tex\latex\moderncv\moderncv.cls
latex.log:2017-11-15 13:37:11,808-0600 INFO  latex - installing package
mwcls triggered by tex\latex\mwcls\mwart.cls
latex.log:2017-11-15 13:37:11,933-0600 INFO  latex - mpm: downloading
ftp://ftp.fernuni-hagen.de/pub/mirrors/www.ctan.org/systems/win32/miktex/tm/packages/mwcls.tar.lzma.
..
latex.log:2017-11-15 13:37:13,745-0600 INFO  latex - mpm: extracting files
from mwcls.tar.lzma...
latex.log:2017-11-15 13:37:15,823-0600 INFO  latex - installing package
paper triggered by tex\latex\paper\paper.cls
latex.log:2017-11-15 13:37:19,948-0600 INFO  latex - installing package
powerdot triggered by tex\latex\powerdot\powerdot.cls
latex.log:2017-11-15 13:37:27,557-0600 INFO  latex - installing package
koma-script triggered by tex\latex\koma-script\scrbook.cls
latex.log:2017-11-15 13:37:49,087-0600 INFO  latex - installing package
revtex triggered by tex\latex\revtex\revtex4-1.cls
latex.log:2017-11-15 13:38:01,604-0600 INFO  latex - installing package
revtex4 triggered by tex\latex\revtex4\revtex4.cls
latex.log:2017-11-15 13:38:05,573-0600 INFO  latex - installing package
sciposter triggered by tex\latex\sciposter\sciposter.cls
latex.log:2017-11-15 13:38:08,683-0600 INFO  latex - installing package
seminar triggered by tex\latex\seminar\seminar.cls
latex.log:2017-11-15 13:38:12,043-0600 INFO  latex - installing package
simplecv triggered by tex\latex\simplecv\simplecv.cls
latex.log:2017-11-15 13:38:15,669-0600 INFO  latex - installing package
spie triggered by tex\latex\spie\spie.cls
latex.log:2017-11-15 13:38:26,655-0600 INFO  latex - installing package
tufte-latex triggered by tex\latex\tufte-latex\tufte-book.cls
latex.log:2018-11-17 15:44:50,618-0600 INFO  latex - installing package
acmart triggered by tex\latex\acmart\acmart.cls
latex.log:2018-11-17 15:45:01,718-0600 INFO  latex - installing package
bxjscls triggered by tex\latex\bxjscls\bxjsarticle.cls
latex.log:2018-11-17 15:45:03,548-0600 INFO  latex - mpm: downloading
ftp://ftp.fernuni-hagen.de/pub/mirrors/www.ctan.org/systems/win32/miktex/tm/packages/bxjscls.tar.lzma.
..
latex.log:2018-11-17 15:45:10,878-0600 INFO  latex - mpm: extracting files
from bxjscls.tar.lzma...
latex.log:2019-07-13 12:37:49,298-0500 INFO  latex - installing package
ieeetran triggered by tex/latex/ieeetran\IEEEtran.cls
latex.log:2019-07-13 12:37:57,296-0500 INFO  latex - installing package
a0poster triggered by tex/latex/a0poster\a0poster.cls
latex.log:2019-07-13 12:38:02,911-0500 INFO  latex - installing package
aastex triggered by tex/latex/aastex\aastex62.cls
latex.log:2019-07-13 12:38:15,057-0500 INFO  latex - installing package
achemso triggered by tex/latex/achemso\achemso.cls
latex.log:2019-07-13 12:38:34,351-0500 INFO  latex - installing package
acmart triggered by tex/latex/acmart\acmart.cls
latex.log:2019-07-13 12:38:59,777-0500 INFO  latex - installing package
aguplus triggered by tex/latex/aguplus\aguplus.cls
latex.log:2019-07-13 12:39:05,808-0500 INFO  latex - installing package
apa6 triggered by tex/latex/apa6\apa6.cls
latex.log:2019-07-13 12:39:24,403-0500 INFO  latex - installing package apa
triggered by tex/latex/apa\apa.cls
latex.log:2019-07-13 12:39:29,584-0500 INFO  latex - installing package
arabtex triggered by tex/latex/arabtex\arabart.cls
latex.log:2019-07-13 12:39:54,343-0500 INFO  latex - installing package
bxjscls triggered by tex/latex/bxjscls\bxjsarticle.cls
latex.log:2019-07-13 12:39:55,193-0500 INFO  latex - mpm: downloading
http://mirrors.rit.edu/CTAN/systems/win32/miktex/tm/packages/bxjscls.tar.lzma.
..
latex.log:2019-07-13 12:39:58,509-0500 INFO  latex - mpm: extracting files
from bxjscls.tar.lzma...
latex.log:2019-07-13 12:40:15,537-0500 INFO  latex - installing package
ctex triggered by tex/latex/ctex\ctexart.cls
latex.log:2019-07-13 12:40:36,147-0500 INFO  latex - installing package
dinbrief triggered by tex/latex/dinbrief\dinbrief.cls
latex.log:2019-07-13 12:40:47,760-0500 INFO  latex - installing package dtk
triggered by tex/latex/dtk\dtk.cls
latex.log:2019-07-13 12:40:53,609-0500 INFO  latex - installing package
elsarticle triggered by tex/latex/elsarticle\elsarticle.cls
latex.log:2019-07-13 12:41:00,506-0500 INFO  latex - installing package
elsevier triggered by tex/latex/elsevier\elsart.cls
latex.log:2019-07-13 12:41:06,305-0500 INFO  latex - installing package
europasscv triggered by tex/latex/europasscv\europasscv.cls
latex.log:2019-07-13 12:41:26,882-0500 INFO  latex - installing package
europecv triggered by tex/latex/europecv\europecv.cls
latex.log:2019-07-13 12:41:42,716-0500 INFO  latex - installing package
extsizes triggered by tex/latex/extsizes\extarticle.cls
latex.log:2019-07-13 12:41:47,932-0500 INFO  latex - installing package
frletter triggered by tex/latex/frletter\frletter.cls
latex.log:2019-07-13 12:41:52,999-0500 INFO  latex - installing package
g-brief triggered by tex/latex/g-brief\g-brief2.cls
latex.log:2019-07-13 12:43:49,165-0500 INFO  latex - installing package
g-brief triggered by tex/latex/g-brief\g-brief2.cls
latex.log:2019-07-13 12:43:58,365-0500 INFO  latex - installing package
platex triggered by tex/platex/base\jarticle.cls
latex.log:2019-07-13 12:44:14,065-0500 INFO  latex - installing package
jsclasses triggered by tex/platex/jsclasses\jsarticle.cls
latex.log:2019-07-13 12:44:39,599-0500 INFO  latex - installing package
kluwer triggered by tex/latex/kluwer\kluwer.cls
latex.log:2019-07-13 12:44:47,382-0500 INFO  latex - installing package
lettre triggered by tex/latex/lettre\lettre.cls
latex.log:2019-07-13 12:45:01,432-0500 INFO  latex - installing package
tugboat triggered by tex/latex/tugboat\ltugboat.cls
latex.log:2019-07-13 12:45:15,731-0500 INFO  latex - installing package
memoir triggered by tex/latex/memoir\memoir.cls
latex.log:2019-07-13 12:45:43,132-0500 INFO  latex - installing package
moderncv triggered by tex/latex/moderncv\moderncv.cls
latex.log:2019-07-13 12:47:39,798-0500 INFO  latex - installing package
mwcls triggered by tex/latex/mwcls\mwart.cls
latex.log:2019-07-13 12:47:40,614-0500 INFO  latex - mpm: downloading
http://ctan.mirrors.hoobly.com/systems/win32/miktex/tm/packages/mwcls.tar.lzma.
..
latex.log:2019-07-13 12:47:43,198-0500 INFO  latex - mpm: extracting files
from mwcls.tar.lzma...
latex.log:2019-07-13 12:47:47,580-0500 INFO  latex - installing package
paper triggered by tex/latex/paper\paper.cls
latex.log:2019-07-13 12:47:54,715-0500 INFO  latex - installing package
powerdot triggered by tex/latex/powerdot\powerdot.cls
latex.log:2019-07-13 12:48:15,131-0500 INFO  latex - installing package
koma-script triggered by tex/latex/koma-script\scrbook.cls
latex.log:2019-07-13 12:49:49,614-0500 INFO  latex - installing package
revtex triggered by tex/latex/revtex\revtex4-1.cls
latex.log:2019-07-13 12:50:19,547-0500 INFO  latex - installing package
revtex4 triggered by tex/latex/revtex4\revtex4.cls
latex.log:2019-07-13 12:50:32,664-0500 INFO  latex - installing package
sciposter triggered by tex/latex/sciposter\sciposter.cls
latex.log:2019-07-13 12:50:38,981-0500 INFO  latex - installing package
seminar triggered by tex/latex/seminar\seminar.cls
latex.log:2019-07-13 12:50:45,731-0500 INFO  latex - installing package
simplecv triggered by tex/latex/simplecv\simplecv.cls
latex.log:2019-07-13 12:50:51,947-0500 INFO  latex - installing package
spie triggered by tex/latex/spie\spie.cls
latex.log:2019-07-13 12:50:59,530-0500 INFO  latex - installing package
tufte-latex triggered by tex/latex/tufte-latex\tufte-book.cls

but as I just recently posted I reinstalled everything and I am
experiencing some very strange behavior where LyX reports Unavailable cls,
but generates a pdf document regardless.

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