This is exactly the problem I'm having (just posted here:https://groups.google.com/forum/#!topic/k-9-mail/AlxzO5uCh8I ). Two-step authentication on, using an app password, but still getting authentication errors.
It was working (briefly), then stopped... -- You received this message because you are subscribed to the Google Groups "K-9 Mail" group. To unsubscribe from this group and stop receiving emails from it, send an email to k-9-mail+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/k-9-mail/62e5a005-09e1-4851-96c1-074336f9be87%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.