Facebook automatically re-scrapes the pages of your site every week or so. For some content and sites, that can happen much quicker. If your site is new, doesn't have content updated often or doesn't have content that is shared frequently, it can take Facebook even longer to re-scrape existing content (and find new or updated tags) or scrape new content for the first time. We have no method to force Facebook to scrape content right when it becomes available.
All JFBConnect can do is set the Open Graph tags so that when they do fetch your page (either automatically or by you forcing it in the Debug Tool), they see the right information for your page.
I hope that helps explain. What you describe is the normal process for how Facebook works.
Join our newsletter to get alerts for Joomla releases, tips and tricks and extension updates.