Preheat the oven to 350 F. In a large bowl, mix together cake mix, eggs, and vegetable oil until smooth. Evenly press the cookie dough into a greased 8-inch square baking dish.
Bake for 20-25 minutes. Let cool completely. In a large bowl, mix the butter with powdered sugar, vanilla extract, and milk until combined. Spread the frosting evenly over the cookie bars. Top with sprinkles.