When I test on your site, I was logged in immediately using Facebook without having to click a second time.
I was using Google Chrome. Can you please let us know:
* What browser you're using?
* If you use Chrome, or other browsers, do you have the same issue?
* Do you have any adblockers or privacy extensions installed in your browser or computer that may be blocking requests to Facebook?
* If you switch the "Show 'Login Credentials' in popup" setting to 'No' in JFBConnect, does that fix the issue?
Let us know any details you can for the above and we'll gladly help investigate however we can.
Thanks,
Alex