I'm not sure what you mean with:
I have tried to disable it after debugging open graph reappears
Have you ever seen the Open Graph information about your pages when using the URL Debugger from Facebook? We haven't, so if you have, we'd like to know what you did to make it appear.
Anyways, I really don't think it's something with your site or Joomla in general. It seems like Facebook is, for some reason, not allowing the Like button for your page. As mentioned above, if you use the Facebook Like test tool, you'll see the Like button doesn't appear there either:
[url=https://developers.facebook.com/docs/reference/plugins/like/[/url]Facebook Like Tester[/url]
Can you try disabling the Open Graph integration of JFBConnect altogether and use the Debug Tool again to see what appears? That would help eliminate Open Graph tags as the problem.
We're still looking for possible causes, but this may be something you need to contact Facebook about with a bug report. It's very strange, and simply something we haven't seen before.
Thanks, and sorry for the troubles,
Alex