There should be a power that can force opponents recharge powers to go onto cooldown, we have a similar power in Resplendent Aria that can refresh your own or a allies recharge powers, it should have a name like Power Sap, Consumption Curse, or Draining Hex.
It would ideally be an encounter power as to avoid spam like Resplendent Aria, it would want to be a balance between the disruption power of stun, prone, disarm, and silence as those all have perks/ability's for immunity or ways around plus as all power that effect other it should have a magic resist roll check to resist it's effects, but this power would be balanced to disrupt a majority of the opponents moves but leave them able to do basic attacks, teases, ultimate, and encounter type powers so it would not warrant a total immunity perk or ability.
The power is self seems powerful on paper, it would have more use cases then silence and disarm while not completely shutting down some enemy's like they do as it would only effect recharge powers leaving them the ability to do other attacks for the time it take their power to come back and not unable to do anything marked spell/weapon. It can also make opponents more exploitable by making them have to do a basic attack or burn their encounter power, but unlike stun/prone they still get to attack or use a item like remedy and not have to get up or sit around stunned and waste a turn.