In your electric mixer, use the paddle attachment to mix the butter and vegetable shortening together.
Slowly mix in the powdered sugar, only adding as much as your electric mixer can handle at a time.
Mix in the vanilla extract and 2 tbsp. of milk. If the mixture is too stiff, add more milk. I prefer a consistency of smooth peanut butter for cookies that have a lot of line work and a slightly stiffer consistency for piping flowers.