Bring 4 quarts salted water to a boil in large pot.
In a large pot on high heat, add extra-virgin olive oil. Add carrot and onion and cook for 1 minute. Add both sausage and ground beef and cook until 3/4 done, about 5 minutes.
Add tomato paste and garlic and cook for 2 minutes. Deglaze with wine and reduce for 2 minutes. Season with salt and pepper. Stir in crushed tomatoes and reduce for 10 minutes on medium heat until slightly thickened.
Add pasta to water and cook for 2 to 3 minutes, stirring to prevent sticking.
Stir in basil, parsley, and pasta and season with salt and pepper. Add pasta cooking water, if needed, to loosen sauce to liking. Garnish with grated cheese and parsley.