Preheat oven to 350 degrees. Grease a 9-by-13-inch baking dish. In a medium bowl, beat eggs slightly. In a large bowl, stir together flour, Cheddar, cottage cheese, butter, salt, nutmeg and spinach.

Brush a 9-by-13-inch glass baking dish with melted butter or oil, and layer in the following order from the bottom: ragù, pasta, béchamel, and grated cheese (saving about 1 cup béchamel for ...