In a large Dutch oven or heavy pot, add pork, oregano, garlic, cumin, salt, black pepper, orange juice and the remnants, lime juice, bay leaves, and water; stir to combine. Bring mixture to a boil over medium high heat, stirring occasionally. Lower the heat to the lowest setting, cover the pot and simmer until the meat is soft and fork tender, about 1½ hours, stirring meat around once during cooking.