In the bowl of a stand mixer, combine the room temperature butter and both sugar. Beat on medium high for 3-4 minutes.
Add the eggs, one at a time, beating after each addition, then add the vanilla and mix to combine.
Add the baking powder, baking soda and salt and mix for 30 seconds to combine, then add the flour (in batches if necessary to keep the flour from flying out of the mixing bowl)
Add the chocolate chips and crushed Oreo's and stir with a spatula to combine. Cover the dough with plastic wrap, and place the mixing bowl in the fridge for 30-60 minutes.
Preheat the oven to 350 and line a baking sheet with parchment or foil.
Scoop 2 tablespoon sized doughballs onto the prepared baking sheet, and top with the extra broken up Oreo's.
Bake for 12-13 minutes or until just set. Allow the cookies to cool on the baking sheet for 3-5 minutes before removing them to a cooling rack.