We've been meaning to test this further, but hadn't been able to while we were getting the latest release of JFBConnect and the SCLogin module ready. This also isn't an issue that we've heard from any other users, which means it may be a conflict or other issue specifically on your site.
Can you tell me if you're having issues seeing the module on our demo site,
demo.sourcecoast.com or even this site?
If not, can you try with a different template to see if the issue goes away on yours? We'll need to narrow down what's different in a mobile view on your site to help understand what may be going wrong. The main things to check are:
1) Do other modules show in the position you're trying to use in the mobile view?
2) Does the template, or another extension, do anything special when a mobile browser is used?
Let me know anything about your configuration you can and we'll gladly help investigate further. Whatever it is though, again, it seems specific to your site, which means you'll need to help with the investigation.
Thanks,
Alex