1 In a dutch oven or slow cooker, add all the spices, beef broth and lemon juice. Stir to combine.. 2 Add the beef and turn to coat, spoon some sauce over the top. 3 Cover and cook on low for 8-10 hours. 4 After cooking, remove beef and use two forks to shred. Discard any excess fat. 5 Skim fat off of the top of the liquid remaining. 6 Mix shredded beef into sauce. Keep warm until you are ready to serve. 7 Build wrap by spreading garlic sauce on the pita. Top with beef and add garnishes to your liking. 8 Fold it burrito style. 9 Heat a grill pan and grill the wrap.