Preheat the oven to 350 degrees F. Linea 7-inch x 11-inch baking dish with parchment paper. Set aside. In a medium mixing bowl, whisk together the eggs, salt, and pepper. Pour into the prepared baking dish.
Bake for 20 minutes or until the eggs are set. (see note) Remove from the oven and let rest for 5 minutes before removing from the baking dish. Leave the oven on.
While the eggs cook, place two large skillets over medium heat. Add the breakfast sausage to one skillet and the bacon strips to the other. Cook the sausage until browned through, breaking up the meat as it cooks. Cook the bacon, flipping as needed until crispy. Transfer the sausage to a paper towel-lined bowl to drain, and the bacon to a paper towel-lined plate. Cut the bacon strips into thirds.
When everything is prepped, cut the rolls in half horizontally. You want the individual rolls still connected. Set the top half aside for now.
Place the bottom half of the rolls onto a parchment paper-lined baking sheet. Top with the eggs, then the bacon, crumbled sausage, and sliced cheese. (The cheese goes on top so it melts and holds everything together.) Place the top buns over the slider filling. Brush the top with melted butter.
Wrap with foil. Bake for 18-20 minutes or until the tops are golden and the cheese is melted.
Remove from the oven and transfer to a cutting board. Cut into individual sliders, sprinkle with chopped parsley, and serve warm.
Notes
If you don't have a 7x11 baking dish, you can use a 9x13 dish and a couple of ramekins to create a smaller well with parchment paper (see here).You can also use a 9x13 baking dish and trim the eggs to fit the rolls after baking. The eggs will only need to bake for 15-18 minutes for this method.