Heat olive oil in a large skillet over medium heat.
Add the Italian turkey sausage, breaking it up with a spoon, and cook until browned and cooked through, about 5-7 minutes.
Add the diced onion to the skillet and cook until softened, about 3 minutes.
Stir in the minced garlic and cook for 1 minute until fragrant.
Pour in the diced tomatoes with their juice, tomato sauce, and chicken broth.
Add the dried Italian seasoning and crushed red pepper flakes, stirring to combine.
Bring the mixture to a boil, then add the penne pasta.
Reduce heat to medium-low, cover, and simmer for 12-15 minutes, stirring occasionally, until the pasta is cooked and most of the liquid is absorbed.
Remove the skillet from heat and sprinkle the Parmesan cheese and shredded mozzarella evenly over the top.
Cover the skillet again and let it sit for 3-5 minutes until the cheese melts.
Garnish with chopped fresh basil before serving.