Behzat,
There's no way in Joomla to disable the ability of one set of credentials to login multiple times, without an additional extensions like Login One. I've honestly never used Login One, but I just downloaded the free version to have a quick look at how it works. Unfortunately, I don't see how the 2 would work well together.
When a user logs in through JFBConnect, there is no 'username' or 'password' provided by the user. The Login One module uses the username and password provided to determine if that user has already logged in or not. Because of that, there's not a way for the Login One plugin to perform the checks that it's looking to do.
JFBConnect itself operates within the confines of Joomla, which allows the multiple logins-per-user ability. I'm not sure of what the best way to add Login One features to JFBConnect or to update Login One to work with JFBConnect. If you want to have the Login One developer contact us, we'd gladly provide whatever information we could to help them.
Sorry for the problems, but I hope the above at least explains things a little.
Thanks,
Alex