In a bowl, combine yogurt, lemon juice, olive oil, minced garlic, and all the spices. Mix well.
Add the thinly sliced beef to the marinade and coat evenly. Cover and refrigerate for at least 2 hours, preferably overnight.
Preheat a cast-iron skillet or grill pan over medium-high heat. Add a drizzle of oil and cook the marinated beef until browned and tender, flipping occasionally.
Warm the flatbreads and spread with garlic sauce or tahini. Add the cooked beef and fresh vegetables.
Roll the wrap tightly, serve, and enjoy!
Notes
For best results, marinate the beef overnight. Serve with garlic sauce, tahini, or spicy red sauce for extra flavor.