Warm a large skillet over medium heat, then add the ground beef and Italian sausage, breaking up large pieces. Once the fat from the meat starts to render, use a wooden spoon to stir and continue breaking apart any larger clumps. Add in the mushrooms and scrape the pan. When the meat is mostly browned, stir in the green onions and continue cooking until thoroughly wilted. Drain off most of the grease and set the meat and mushroom mixture aside.
In a large Dutch oven or sauce pot, add the tomatoes with their liquid, chicken or beef broth, minced garlic, parsley, chopped herbs, spices, and bay leaves. Crush the tomatoes to break them apart, then stir in the reserved meat, mushrooms, and cooked onions.
Bring to a simmer over medium-high heat. Stir in the bourbon, white wine, and prunes, then lower the heat to a low simmer and cook, uncovered, for 2 hours, stirring occasionally and adjusting seasoning to taste.