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.

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Bring the soup to a boil, reduce heat to a simmer, cover, and simmer for 45 minutes.