Do you mean with the social login, that you want the redirection to be different based on which SCLogin module they are using?
Unfortunately, right now, JFBConnect doesn't have a method to provide a different login redirection based on the SCLogin module that is used. The only option I can suggest right now is using the "Same Page" setting for your redirection, which should leave the user in the mobile version of your site after they login instead of going to a specific menu item.
I hope that helps, but if not, or you need more assistance, please let me know. We may be able to help come up with some other ideas or even some code changes that should help, but it may take some effort.
Thanks,
Alex