> I have two installations of latex both texlive but in one luamplib writes 
> dependencies into fls file

Which one does? As far as I know mplib does not, nor does luamplib provide for 
it.

> I think, as metapost admits input of mp files, it shall be written..

For this to work as expected, luamplib would have to insert calls to 
kpse.record_input_file() at the appropriate places (see ยง10.7.2 of the luatex 
manual). I added these to minim-mp this morning, see [1].

Warm regards,
Esger Renkema

[1]
https://gitlab.com/renkema/minim/-/commit/16d034b10f4dfe22be575ca5e5e4e3a42c3add02#af0765e8e534d4e97
f10b18eddac38c08968037

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