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