Thanks for the Private Message and your patience.
The issue seems to be from AceSEF. Even though it's configured to not alter JFBConnect URLs, which is the correct setting, it still is. All I see it doing right now is changing:
index.php?option=com_jfbconnect&task=authenticate.login&provider=facebook&return=Lw==&eb71289d4f12f60ccde138a217e17331=1
to
index.php?option=com_jfbconnect&task=authenticate.login&provider=facebook&return=Lw==&eb71289d4f12f60ccde138a217e17331=1
However, it shouldn't be even doing that. There are special parameters passed back to JFBConnect from the social networks and the URLs can't be altered or else it can cause issues.
By disabling AceSEF, the authentication process does work. You'll need to contact AceSEF to understand why it's altering URLs for JFBConnect even though you've told it to leave them alone.
I hope that helps, but if you need more assistance, please let me know.
Thanks,
Alex