Add the onion and garlic to the pot and cook until softened, about 3 minutes.
Pour in the beef broth, scraping up any browned bits from the bottom of the pot.
Return the beef to the pot. Add the apple cider vinegar, lime juice, chili powder, cumin, oregano, salt, pepper, minced chipotle peppers, adobo sauce, and bay leaf. Stir gently to combine.
Secure the lid and set the valve to Sealing. Select Manual/Pressure Cook (High Pressure) for 60 minutes.
When the cooking cycle finishes, allow a Natural Pressure Release (NPR) for at least 15 minutes before carefully moving the valve to Venting to release any remaining pressure.
Remove the beef from the pot and place it on a cutting board. Discard the bay leaf. Shred the beef using two forks.