For the password, I do this:

1. Press Keymaps on hotkey.
2. Press Keymaps off hotkey.
3. Press Repeater on hotkey.
4. Enter Password.
5. Tab.
6. Enter Authenticator.
7. Press Enter...

Not sure why, but when I'm at the Password screen, the Keymaps are sometimes on and sometimes off, even if the M1/M2 lights on my G15 show them to be in one state or the other.

But pressing once to enable and then once again to disable (keymaps) and then pressing Repeater to enable that, and it always works... And once I'm in game, having 'synced' them at the password screen, it's always good from there onwards.