Unfortunately, there is no way for us to log a user into Facebook even after we have linked the account. The avatar that is showing up in the mod_jfbclogin is actually coming over from Facebook.
If you want the Community Builder avatar to show up, I would suggest using a CB module and then turn off showing the avatar in mod_jfbclogin. If you need help doing any of this, let me know. If this solution won't work for you and you would like to try another approach, let me know and I can try to help with that as well.
Thanks
To display Avatar on mod_jfbclogin module
