Preheat oven to 350°F and prepare 9x13 baking dish with cooking spray.
Cook pasta to al dente, drain well and return to pan.
Generously season chicken with salt and pepper.
Heat olive oil in a medium skillet over medium heat. Add the chicken and cook until the chicken is no longer pink in the middle.
When the chicken is done, add two cloves of minced garlic to the skillet and cook another minute, until the garlic is fragrant.
Stir the sauce, chicken, and basil into your pasta, making sure everything is evenly coated.
Pour half of your pasta mixture into the baking dish. Top with ½ cup of parmesan and 1 cup of mozzarella. Pour the remaining pasta on top.
Cover with aluminum foil and bake for 20 minutes. Uncover, top with ½ cup parmesan and 1 cup mozzarella, and bake, uncovered, for 8 minutes.
Top with additional chopped basil, if desired.