Start by heating a large skillet over medium heat. Add the ground beef and break it apart as it cooks. Stir in garlic powder, onion powder, salt, pepper, and Worcestershire sauce. Cook until browned and slightly crispy. Drain excess fat if needed, then set aside.
In a bowl, combine Greek yogurt, light mayonnaise, ketchup, mustard, relish, garlic powder, smoked paprika, and optional pickle juice. Mix well until smooth and creamy. Taste and adjust seasoning if needed. Refrigerate until ready to use.
Gently warm the tortillas in the microwave for about 10–15 seconds or in a dry skillet. This makes them soft and easier to fold. Avoid overheating so they don’t become dry or brittle.
Lay a tortilla flat on a clean surface. Spread a generous layer of the special sauce in the center. Add cooked beef, lettuce, cheese, pickles, and onions. Keep ingredients centered to make rolling easier.
Fold in the sides of the tortilla, then roll tightly from the bottom up. For extra texture, toast the wrap seam-side down in a skillet for 1–2 minutes per side. Slice in half and serve immediately.