In a blender or food processor, combine the chipotle peppers, adobo sauce, apple cider vinegar, lime juice, garlic, cumin, oregano, salt, black pepper, and ground cloves. Blend until smooth.
Place the chuck roast pieces in the slow cooker. Pour the blended sauce and beef broth over the meat, then tuck in the bay leaves.
Cover and cook on low for 8 to 10 hours or on high for 5 to 6 hours, until the beef is completely tender and shreds with minimal effort.
Remove and discard the bay leaves. Transfer the beef to a cutting board and shred it using two forks.
Return the shredded beef to the slow cooker and stir it into the braising liquid. Let it sit on warm for 10 minutes to absorb all the smoky, spicy flavors.
Serve the barbacoa in warm flour tortillas with your favorite toppings like diced onion, fresh cilantro, and a squeeze of lime.