Season both the beef and lamb well on all sides with sea salt and pepper. Set aside. Next add the oil to a large pot or rondeau over high heat and once it begins to smoke add in the meat and sear.
Remove the beef from the pot and set it aside. Now, place in the onions and cook over medium heat for about 20-25 minutes. Place in the garlic and give it a quick sauté with the onions.
Next, put in the tomatoes, chiles, allspice berries, cinnamon, peppercorns, bay leaves, cumin seeds, oregano, and thyme and stew medium-high heat to soften up the peppers and cook the tomatoes.
Transfer the mixture to a blender and puree at high speed until smooth. See note on how to blend hot food. Pour the mixture back into the pot along with water or beef stock.