To prepare a three cheese chicken penne pasta bake recipe, you will first need to prepare the pasta. Preheat the oven to 425 degrees F (204 degrees C) and grease and flour two 9-inch square baking pans. In the bowl of an electric mixer, cream the butter with the sugar until light and fluffy. Add the eggs and beat until the whites are stiff peaks. Gradually add the flour and mix until just combined. Pour the mixture into the greased pan and bake for 20 minutes. Remove the pan from the heat and stir in the Parmesan cheese.