Heat olive oil in a large pot over medium heat.
Add the ground beef and cook until browned, breaking it up with a spoon, about 5 minutes.
Add the diced onion and cook until softened, about 3 minutes.
Stir in the minced garlic, dried oregano, dried basil, salt, and black pepper; cook for 1 minute until fragrant.
Add the diced tomatoes with their juice, beef broth, and uncooked penne pasta to the pot.
Bring the mixture to a boil, then reduce heat to medium-low and simmer uncovered, stirring occasionally, until the pasta is tender and most of the liquid is absorbed, about 15 minutes.
Remove the pot from heat and stir in the grated Parmesan cheese until melted and combined.
Sprinkle chopped fresh parsley over the top before serving.