Preheat the oven to 325 degrees F (165 degrees C). Lightly grease a 9x13-inch baking dish.

Cook sausage in a large, deep skillet over medium-high heat, until evenly browned, 7 to 9 minutes. Drain and crumble into small pieces.

Mix beaten eggs, mozzarella, Cheddar, and oregano together in a large bowl.

Line the bottom of the prepared baking dish with crescent roll dough, then sprinkle crumbled sausage over top. Pour egg mixture over sausage.

Bake in the preheated oven until a knife inserted into the center comes out clean, 25 to 30 minutes.