Preheat oven to 375 degrees F (190 degrees C). Grease a 9x13-inch baking dish.

Combine the sausage, cheese, eggs, milk, maple syrup, salt, and pepper in a large bowl. Stir until well combined.

Arrange the bottom halves of the Hawaiian rolls in the prepared baking dish. Pour the egg mixture over the rolls.

Top with the remaining Hawaiian roll halves.  You can brush melted butter or olive oil on top of the second layer. 

Bake in the oven for 30-35 minutes or until the eggs are set, and the cheese is melted and bubbly.

Let stand for 5 minutes before serving.