Preheat broiler. Add bun halves to a baking sheet cut side up and brush them with melted butter. Place under the broiler and toast until golden brown, about 1 to 2 minutes. Set aside.
Preheat the oven to 350˚F and grease a 12-cup muffin tin with cooking spray.
Crack an egg into each muffin well. Bake for 9 to 10 minutes, until the egg whites are set but the yolks are still runny. To remove the eggs, slide a knife gently around the sides to loosen them. I lift mine out gently with a spoon.
While the eggs are baking, top the bottom halves of the buns with two bacon halves, a sausage patty, and a square of cheese. Bake for 3 to 4 minutes until the cheese has melted.
To assemble, top each slider with an egg. Spread 1 Tbsp Head Country Bar-B-Q Hickory Smoke Sauce on each roll top half and place on top. Serve.