1. Preheat your oven to 400°F (200°C). Grease a 9-inch pie plate or baking dish with butter or cooking spray to ensure easy removal after baking.

Prepare the Ingredients

1. In a medium-sized mixing bowl, beat the eggs using a whisk until they are smooth and slightly frothy. Add the milk, whisking thoroughly to combine the ingredients into a uniform mixture.
2. Gradually add the flour to the wet ingredients, whisking continuously to avoid lumps. The batter should be smooth and creamy.
3. Add the Cheese and Seasonings: Gently fold in the shredded mozzarella and sharp cheddar cheeses. Add the salt and pepper, adjusting the amount of pepper to taste. Stir until the cheese and seasonings are evenly distributed throughout the batter.

Assemble and bake the Pie

1. Pour the mixture into the prepared pie plate or baking dish. Use a spatula to spread the batter evenly, ensuring that the cheese is distributed throughout.
2. Place the dish in the preheated oven and bake for approximately 30 minutes, or until the top is golden brown and a knife inserted into the center comes out clean. The pie will puff up slightly during baking and then settle as it cools.

Cool and Serve

1. Allow the pie to cool for about 5 minutes before slicing. Serve warm for the best flavor and texture.