Have you already looked from Control → Analytics → Export → Moderator action?

With that export you can see who have done and what action. And when.

Hi there,
Will the selected community members have the seat licenses?
Without the seat the selected community members won’t be included in the Moderator action. 

I presumed they are users with Moderator role (seat reserved). If you dont have it, how you can do the actions?

Edit: If you just grant access to Control, nothing else, it takes seat(s).