Beat the butter, shortening, and sugars until creamy.
Add eggs and vanilla. Add salt, baking soda, flour, and cocoa powder. Fold in the chocolate chips.
Press half into the bottom of a 9×13 pan lined with nonstick foil.
For the cheesecake filling: Beat the cream cheese and sugar until creamy. Add the egg and peanut butter. Fold in Reese’s peanut butter cups by hand. Spread over the cookie dough.
Take pieces of the leftover cookie dough and flatten in your hands. Lay on top of the cheesecake covering it the best you can. Bake at 350 for 25-30 minutes. Let cool and chill before cutting.
Melt chocolate chips in the microwave and drizzle across the tops. Chill!