Preheat the oven to 350F then line a baking sheet with parchement paper and set aside.
Cream the butter, peanut butter, brown sugar, and granulated sugar. Add in the eggs and vanilla extract then mix until combined.
Add in the flour, oats, baking powder, baking soda, corn starch, and salt, and mix just until the flour mixture disappears.
Using a large cookie scooper, scoop out 9 equally sized cookie dough balls, roll them in between the palm of your hand, then gently flatten them to about 1 inch in thickness and bake in the preheated oven for 12-13 minutes.
Let the cookies cool down on the baking sheet for 15 minutes before transferring to a cooling rack.
Make the cream cheese frosting
Cream the butter, cream cheese, and vanilla extract together until smooth. Mix in the powdered sugar until combined.
Sift in the cocoa powder, then add in 2 tbsp milk and mix again until fluffy. If the frosting seems too thick, add in one more tablespoon of milk.
Frost each cooled down cookie with a thick dollop of frosting, chill for 30 minutes or more, then enjoy!
Notes
How to store these Crumbl peanut butter bar cookies?
Since this is a cookie recipe that is served chilled, you can store them in an airtight container in the fridge for up to 5 days.