01 - In a large skillet, melt butter with olive oil over medium heat. Add sliced onions and salt, stirring to coat. Cook for 5 minutes, then sprinkle with sugar. Continue cooking, stirring frequently, until onions turn deep golden brown and soft, about 20 minutes. Remove from heat and set aside.
02 - In a bowl, combine ground beef, salt, pepper, Worcestershire sauce, and garlic powder. Mix gently until just combined. Divide mixture into 8 equal portions and shape each into a patty slightly larger than the buns.
03 - Heat a grill pan or skillet over medium-high heat. Cook patties 2–3 minutes per side until browned and cooked to desired doneness. During the final minute, place a slice of cheese on each patty and cover to melt.
04 - Slice slider buns in half. Butter the cut sides if preferred. Toast buns cut side down in a skillet or on the grill until golden brown.
05 - Spread mayonnaise and/or mustard on the bottom half of each bun if using. Add a lettuce leaf and tomato slice if desired. Top with a cheesy patty, a spoonful of caramelized onions, and pickles if preferred. Cap with the top bun.
06 - Serve sliders immediately while hot.