Preheat oven to 375ºF.
Place a large skillet over high heat with 2 turns of the pan of EVOO, about 2 tablespoons. Sear the meat in the hot pan until deep brown on both sides, about 5 minutes per side. While the meat is browning, in a mixing bowl combine the remaining ingredients.
Transfer the browned meat to a large casserole dish and cover with the sauce mixture. Cover the pan tightly with aluminum foil and place in the oven. Bake, basting a few times during cooking, until the meat is tender enough to shred easily with a fork, about 3 hours.
When the meat is ready, transfer to a cutting board and let rest for about 10 minutes. Serve the meat thinly sliced with the pan gravy and your favorite sides.