Preheat the oven to 350 degrees F. Combine hominy and corn in a greased 2-qt. souffle dish. Top with cheese.
In a medium bowl, whisk the eggs, milk, flour, garlic, salt, and ground red pepper together until combined. Pour milk mixture over the cheese. Bake for 50 to 55 minutes, or until a knife inserted off-center comes out clean. Let stand 10 minutes before serving.