1. Heat a large skillet over medium-high heat. Add oil to pan; swirl to coat. Add onion and carrot to pan; sauté 4 minutes, stirring occasionally. Add garlic; sauté 1 minute, stirring constantly. Place vegetable mixture in a 6-quart slow cooker. Add sausage and beef to skillet; sauté 6 minutes or until browned, stirring to crumble. Remove beef mixture from skillet using a slotted spoon. Place beef mixture on a double layer of paper towels; drain. Add beef mixture to slow cooker. Stir olives and next 6 ingredients (through tomato sauce) into slow cooker. Cover and cook on LOW 8 hours. Stir in oregano.
2. Prepare pasta according to package directions, omitting salt and fat. Serve sauce with hot cooked pasta; top with basil and cheese.