They show up on the backend while in the page editor, but not on the preview or site itself. Sharing and visibility settings have been set up, there are no missing brackets to disrupt the display, and I've tried other methods of getting it to generate. Nothing seems to work.
So there are 2 errors, and they are failing to load an RSS feed, which I'm 99% sure are the two blogs - are the blogs published?
If not, the module won't pull in drafts, which is why you might see it in preview and not live.
If they are published, we might have to do some more troubleshooting, and the live blog links would be helpful.
I did a quick search for your theme (Melinda), but I'm not familiar with it enough to know how they coded the blog modules. It might require reaching out to their support, I didn't see anything in their documentation either.