In a large bowl (or in a standing mixer bowl), cream the butter and sugar together until well combined, approximately 3-5 minutes.
Crack in the eggs and pour in the vanilla extract, then continue to mix until incorporated.
To the wet ingredients, pour in the flour, baking powder, baking soda, and salt. Whisk until just combined.
Crumble 10-12 Oreo cookies and fold them into the batter.
Using a cookie scoop, form cookie dough balls, roll evenly between your hands, then place on a baking sheet lined with parchment paper. Chill for an hour.
Once the cookies are ready to bake, preheat the oven to 350º and place a piece of the Hershey's cookies and cream bar at the top, pressing down slightly. Bake the cookies in batches of 6-8 for 11-12 minutes, letting them cool for 15 minutes then transfer to a wire rack to fully cool.
Notes
If you want to make these cookies extra round, use a large cookie cutter or the top of a jar and swirl or "scoot" the cookie in a circle the moment they come out of the oven.Remember that the cookies will finish baking even after you take them out of the oven, so abide by the 11 minutes of baking time strictly. Keep them on the baking sheet for 10 minutes after they come out and they will set perfectly. Do NOT add more baking time and keep them in the oven.