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Step 1
Line a 9-by-13-inch baking pan with parchment paper and heat the oven to 350 F.
Step 2
Melt the butter in a saucepan over medium-low heat and set aside 2 tablespoons in a small bowl.
Step 3
To the butter in the pan add the honey mustard, 2 tablespoons of the everything bagel seasoning, and Worcestershire sauce; mix to blend thoroughly.
Step 4
Carefully slice the flat of rolls in half horizontally and spread all cut sides with the butter and mustard mixture.
Step 5
Layer the ham and cheese on the bottom half of the rolls.
Step 6
Top with the top portion of the rolls.
Step 7
Brush the top of the rolls with the reserved melted butter and sprinkle with the remaining bagel seasoning.
Step 8
Cover the pan tightly with foil and bake the sliders for 15 minutes. Remove the foil and continue to cook until they are browned and the cheese has melted, about 5 minutes longer.
Step 9
Slice between the buns to separate them and serve ham and cheese sliders warm.