A Forum Moderator was a moderator that had the ability to look for forum posts that break the rules of the forums and warn, ban, or terminate players who post them. Almost all of them worked as Community Engagement Managers at Roblox. According to the image, the moderator could see that posts ID number, delete post, edit it, view the users Moderation History, or move the post to the correct forum/thread.
Forum mod xddd

When the forums closed on December 11, 2017, there were no more forum moderators, but those who were are still moderators themselves.

See also