In a large bowl, beat the eggs until fluffy. Add flour, baking powder, and salt, and mix well. Stir in cottage cheese, Monterey Jack cheese, cheddar cheese, melted butter, and green chilis until combined.
Pour the mixture into the prepared baking dish. Bake in the preheated oven for 40-65 minutes, or until the edges are golden and the center is set.
Allow the casserole to cool for 5 minutes before slicing and serving.