Ali,
I logged into your site, and for some reason the JFBConnect - Authentication plugin is not installed. I can see it in the plugins/authentication directory, but it won't show it in the plugin manager. Using JoomlaXplorer, I was unable to delete the 2 files there (jfbconnectauth.php and jfbconnectauth.xml), and was therefore unable to reinstall the plugin.
Please delete those files, install the plugin, and enable it. It's the same issue that's been described here before. Without that plugin, you'll get the infinite loop because the login module tries to authenticate, there's no authentication, so it 'fails' login, redirects to the home page where the login modules tries to authenticate again.
The authentication plugin is in the JFBConnect zip file in the admin/packages directory.