That's very simple. You MUST move up your active ability as the first ability. Like let says I put Mask of Madness which has the Berserk active ability and the Lifesteal passive ability, at your item's Abilities - Abilities:
It should be:
Berserk (Item), Lifesteal
That way you shall show your cooldown because I made Berserk as my priority of the ability of that item.
NOT
Lifesteal, Berserk (Item),
No this will not show your cooldown because I don't make my Berserk ability as my priority skill.
So, to apply the same thing regarding your skill and an aura, arrange your skill as the first one, then follow by your aura.
Hope that helps.