Place the ground beef in a skillet over medium heat.
Cook the beef until fully browned, breaking it apart as it cooks.
Drain the excess grease from the skillet.
Add the Worcestershire sauce, ketchup, dried minced onion, salt, and black pepper to the cooked ground beef.
Stir until the beef is evenly coated with the seasonings and sauce.
Warm or lightly grill the tortillas until they are pliable.
Lay each tortilla flat on a clean work surface.
Place a strip of cheese or a portion of shredded cheese down the center of each tortilla.
Spoon a generous amount of the seasoned ground beef mixture over the cheese.
Drizzle mustard over the beef.
Add tomato slices over the beef mixture.
Roll each tortilla tightly in a burrito-style shape, folding in the sides as it is rolled.
Place the rolled tortillas on a grill or grill pan.
Grill each wrap, turning a half turn every minute, until the tortilla is warm and lightly crisp.
Flip each wrap and grill the opposite side in the same manner.
Remove the wraps carefully from the grill.
Gently open each wrap and add shredded lettuce.
Roll the wraps again.
Serve warm with additional ketchup, mustard, ranch dressing, or burger sauce, if desired.