01 - Heat butter and olive oil in a large skillet over medium-low heat. Add sliced onions and salt. Cook, stirring occasionally, until deeply golden and caramelized, about 20 to 25 minutes. Stir in sugar during the last 10 minutes if desired. Remove from heat and set aside.
02 - Combine ground beef with Worcestershire sauce, salt, and pepper in a mixing bowl. Divide mixture into eight equal portions and shape each into a small patty slightly larger than slider buns.
03 - Preheat grill or skillet over medium-high heat. Cook patties 2 to 3 minutes per side until desired doneness. Place cheese halves on patties during the last minute to melt (optional).
04 - Lightly toast slider buns until golden.
05 - Spread mayonnaise and mustard on buns. Layer each bottom bun with lettuce, beef patty, caramelized onions, tomato slice, and pickles if desired. Cover with top buns and serve immediately while hot.