Ok. At least I'm not the only one. I, like Dave said, used to see the og:title showing the same as the post/page title, without the hyphen and site name.
I've looked on other sites, like WP Beginner, and their og:title is showing properly. I e-mailed them about it, and they said they didn't know why.
But mainly, Google is indexing all my posts and pages with the hyphen and site title added to the end, although Googles checker shows the preview correctly and the title between the title tags is correct (as I have it set in the plug-in template).
I will check out the link and see what I can do.
Thanks again for responding though. I really appreciate it.