In the bowl of a stand mixer with the paddle attachment, beat the butter and sugars. Add eggs, and vanilla. Blend well. Scrape bowl if needed.
In a separate bowl, whisk the flour, cocoa, baking soda, and salt. Gradually add the dry ingredients to the wet ingredients until incorporated.
Fold in the white chocolate chips.
Using a #50 cookie scoop (about 1½ TBSP), scoop the cookie dough balls onto a parchment lined baking sheet. Press a few pieces of chopped Cookies'n'Creme candy bar pieces on top.
Bake at 350 degrees Fahrenheit for 9 to 10 minutes. Allow cookies to rest on the baking sheet for 3 to 5 minutes before moving them to a cooling rack. Store cookies in an airtight container.