Brown and crumble the sausage in a skillet. Drain off any grease and spoon the sausage into the bottom of a 9x9 baking dish. Sprinkle half of the green onions over the sausage.
Whisk together the eggs and milk, pour over the sausage. Top with 1 C. of the cheese. Place the hash browns on a plate and pop in the microwave for 30 seconds to soften enough to cut. Cut each patty into 6 pieces. Place on top of the cheese.
Bake in a 350 degree oven for 25 minutes. Remove and top with remaining cheese and green onions, return to the oven for 5 minutes.