Putting BFA Recent Comments within a Page

I'm trying to create a Page, not a Post, to show lists of the most recent posts from several categories, and also a list of the most recent comments. I've got a plugin that lets you use short codes to show the posts from certain categories on a page, but it doesn't "do" comments.

I was thinking if I could somehow run the code behind the BFA Recent Comments widget as a short code, that would work. Any ideas?

Or another way to do it?