Sorry but I don't understand you, that should be default options... What do you want exactly?
They have mod permission but they say it ain't showing...
Give them supermod or make them to moderators in the specific forum.
When adding user to be moderator of specific forum, you need to check permissions what he have for moderating that forum. It is usuall to give moderator all permissions for specific forum, but you can give him just a few of them...