I do not know what you mean by 'work' with Beckoning Light and Card Destruction, but just remember that you can't chain Forced Requisition to Card Destruction/Beckoning Light since the last effect that resolves with those cards is drawing/adding cards to hand. But if you already has an active Forced Requisition face-up on the field, your opponent will then discard the same amount of cards you have discarded after activating Card Destruction or Beckoning Light.