In a large bowl, combine the ground beef with the grated carrot, shallot, and garlic.
Add the onion powder, garlic powder, Italian seasoning, chili flakes, black pepper, and salt to the meat mixture.
In a separate bowl, mix the bread crumbs, milk, beaten egg, Parmesan, and tomato paste until well combined.
Combine the two mixtures together and form into meatballs.
Cook the bucatini according to package instructions until al dente.
In a skillet, heat some oil and brown the meatballs on all sides.
Once the meatballs are cooked through, serve them over the bucatini.
