My live tiles dont update by themselves. Specially facebook. I updated it to the latest version and it worked for a day. Now it's again back to the same state.
Background tasks for Facebook does NOTHING for notifications as they are push notifications. The background task associated with Facebook is ONLY for the lockscreen image rotation if using the Facebook lockscreen setting.Have you enabled them to be running in the background? If yes, try unpin and repin. Failing that, try uninstall and reinstall. Failing that, try soft reset... Hope this helps..