In a large Dutch oven, cook and stir the pork sausage and ground beef with the onion over medium heat until the meat is no longer pink, 10 to 12 minutes; drain off excess fat.
Pour in the water, and stir in black-eyed peas, diced tomatoes, tomatoes with green chiles, Worcestershire sauce, garlic salt, salt, canned green chilies, molasses, beef bouillon cubes, black pepper, and cumin until thoroughly mixed.
Bring the soup to a boil, reduce heat to a simmer, cover, and simmer for 45 minutes.