Admins are Admins, and have nothing to do with moderation unless you add them as a moderator.
Moderators are Moderators, and have nothing to with administration unless you add them as an Admin.
[Edit]
More than likely what you need to do, is either:
A) Add them as a Moderator if they are not
B) Go to them on the Moderators part, enter the settings area and just hit save.