There is always password fail when enabling 2-factor auth. An workaround right now is using "Sign in using App Passwords".
I think it need to use Oauth as ./chat/protocols/twitter/twitter.js .
Similar to bug 984027, yes it'd be nice to support oauth. I think this was never done because Google doesn't return a good error message (e.g. "You have 2 factor enabled!") it just returns the "invalid password" error if you try to use a password. We should just bite the bullet and use 2FA. We'd want to use https://dxr.mozilla.org/comm-central/source/mailnews/base/util/OAuth2.jsm or https://dxr.mozilla.org/comm-central/source/mail/base/modules/oauth.jsm
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