KatM received an "LOL" badge on Jun 30 because their post made people laugh. Out loud. Not literally. Why do we say LOL when we don't mean it? That's one for the philosophers, I guess. Anyway, point being, their post was funny. That should have been a way easier point to make than it was.
KatM earned a "Facepalm" badge on Jun 15 because, well, facepalm. "Facepalm" is what you say when someone does something unbelievably stupid like trying to explain a pretty common piece of Internet terminology to a bunch of people on the Internet.