Press dough into an even layer in greased 9x13 pan.
Bake 15-20 minutes or until lightly browned and center is cooked through.
In bowl of an electric mixer, mix together cream cheese, half of whipped topping and powdered sugar.
Spread on top of cooled cookie crust.
In another bowl, whisk pudding and milk together and spread on top of cream cheese mixture.
Carefully spread remaining whipped topping over pudding and chill until ready to serve.
If desired, top with peanut butter drizzle.