Preheat the oven to 350°F. In a small bowl, stir together the sesame seeds, poppy seeds, dried onion flakes, optional black sesame seeds, and garlic salt. This makes a batch; only 2 tablespoons of the mixed seasoning are used for this tray.
In another small bowl, stir 2 tablespoons of the melted butter with 2 tablespoons of the everything seasoning mix. Set aside. These 2 tablespoons of butter are part of the 4 tablespoons listed for the sliders.
In a medium skillet over medium-high heat, melt the remaining 2 tablespoons butter. Add the chopped bell pepper and onion. Cook until tender and lightly golden at the edges, stirring as needed. Set the cooked vegetables aside.
Heat the olive oil in a large skillet over medium-high heat. Add the cooked shaved roast beef, separating folded slices, and turn gently until heated through and lightly browned in spots.
Carefully slice the dinner-roll slab in half horizontally, keeping the rolls connected. Put the bottom half in a 9×13-inch baking dish. Spread the mayonnaise evenly over the cut surface.
Arrange the warm roast beef evenly over the bottom rolls. Cover with the 9 provolone slices, overlapping as needed. Spoon the cooked peppers and onions over the cheese.
Leave the roll tops off. Bake the bottom rolls and filling uncovered at 350°F for 8–10 minutes, until the provolone has melted.
Remove the dish from the oven and place the connected roll tops over the filling. Stir the everything butter again and brush it evenly across the tops, distributing the seeds and onion flakes.
Return the dish to the oven for 5 more minutes, until the roll tops are warm and golden.
Divide along the roll seams into 12 individual sliders and serve warm.