Start by heating the unsalted butter over medium heat in a large pot.
Once melted, add in the ground beef and pork.
Cook until browned, breaking it apart as it cooks.
Add the diced carrot, celery, minced garlic, and chopped onion to the pot.
Sauté until the vegetables become soft and aromatic.
Pour in the canned tomatoes, crushing them slightly with a spoon as you stir them into the mixture.
Add the tomato paste and beef broth.
Bring the mixture to a gentle boil, then reduce the heat to let it simmer.
Stir occasionally and let it cook for about 1 to 1 1/2 hours, allowing the flavors to meld together.
Serve your delicious bolognese over pasta and top with grated Parmesan cheese.