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As I started typing the header for this post, I got the usual list of possible threads. Here's one I looked at.
I have a similar problem that's not resolved. I, too, have two Gmail accounts. I have a bookmark that takes me to the login screen, which offers me the two accounts (see photo). The first one I set up works fine when I select it, ie the password works. However, if I log out of that one and get back to the login page and select the other one, I get an error message in the password box.
If I check the ID Safe settings for that Gmail address, the password's correct. If I click on either ID in the ID Safe box, Gmail loads up but in a very primitive format.
Is it a Gmail issue or something I'm doing wrong in ID Safe? Both are set to Auto-fill and Auto-submit.