Spread sausage evenly in the bottom of a 13x9 baking dish and pat down. Scramble eggs in a bowl, then pour into a second 13x9 well greased baking dish and bake at 350F for 18-22 minutes or until the eggs are set and the sausage is 170F.
Slice through the Hawaiian rolls horizontally and place the bottoms of the rolls in a 13x9 baking dish.
Layer the sausage, eggs and cheese slices on top and then place the tops of the rolls on top.
Use a knife to follow the lines of the rolls and slice through the layers to form individual sandwiches.
Melt the butter in a microwave safe dish. Stir in the syrup until it is completely combined and appears creamy.
Brush the syrup mixture over the top of the sandwiches allowing it to drip between the cracks.
Bake at 350F for 10-15 minutes or until heated through and the cheese is melted.
Serve hot, and enjoy!