01 - Heat 1 tablespoon of olive oil in a large skillet over medium-high heat. Add the sliced onions and green peppers; sauté for 4 to 5 minutes until softened and lightly caramelized. Transfer to a plate and set aside.
02 - Add the remaining 1 tablespoon of olive oil to the same skillet. Add the ground beef, breaking it apart with a spatula, and cook until evenly browned and crumbly, about 6 to 8 minutes. Drain excess fat if necessary.
03 - Stir in the minced garlic, Worcestershire sauce, salt, and pepper; cook for 1 to 2 minutes until fragrant. Return the sautéed peppers and onions to the skillet and toss everything together to combine.
04 - Reduce heat to low. Arrange the provolone cheese slices evenly over the beef mixture, cover the skillet, and let sit until the cheese is fully melted, about 2 minutes.
05 - While the cheese melts, place the split hoagie rolls under a broiler or in a toaster oven until golden and lightly crisped.
06 - Spoon the cheesy beef and pepper mixture evenly onto the toasted rolls. Serve immediately while hot.