Heat the olive oil in a large deep skillet or Dutch oven over medium-high heat.
Add the ground beef and cook, breaking it up with a spoon, until browned and cooked through, about 5-7 minutes.
Add the diced onion and cook until softened, about 3 minutes.
Stir in the minced garlic, dried oregano, dried basil, crushed red pepper flakes, salt, and black pepper. Cook for 1 minute until fragrant.
Add the undrained diced tomatoes, beef broth, and uncooked penne pasta to the pot. Stir to combine.
Bring the mixture to a boil, then reduce heat to medium-low and simmer uncovered, stirring occasionally, until the pasta is cooked 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 well combined.
Sprinkle with chopped fresh parsley before serving.