Heat 2 tablespoons olive oil in a large Dutch oven over medium heat; cook pork sausage, breaking it onto smaller pieces with a wooden spoon, until browned, about 5 minutes. Add ground beef; cook and stir until beef is browned and crumbly, about 5 minutes. Drain excess fat.

Pour remaining olive oil over sausage mixture; add eggplant, onion, garlic, salt, and black pepper. Cook and stir until lightly browned, about 10 minutes. Add mushrooms and continuing cooking until tender, about 5 minutes.

Mix crushed tomatoes, diced tomatoes, parsley, oregano, and basil into sausage mixture; bring to a boil. Cover Dutch oven, reduce heat to medium-low, and simmer for 30 minutes.