Heat the oven to 375°F, grease a 9-by-13-inch baking dish and boil the penne 2 minutes short of tender.
Brown the chicken sausage in the olive oil over medium-high heat for 4 minutes.
Add the garlic and crushed red pepper, cook for 30 seconds, then stir in the tomatoes, oregano and salt and simmer for 8 minutes.
Fold the drained penne and cooked chicken into the sauce and spread the mixture in the baking dish.
Top with mozzarella and Parmesan and bake until browned at the edges, 20 to 25 minutes.
Rest for 5 minutes before spooning out portions.