Preheat Ninja Foodi on Bale/Roast mode at 350°.
Mix ricotta, ¼ C. Parmesan, ½ C. mozzarella, 1 large whole egg, basil and salt, and pepper in a mixing bowl.
In each chicken breast, cut a side pocket with a small knife.
Now stuff each chicken breast with 2 Tbsp. Tomato sauce and 1/4 of the ricotta mix.
Organize each stuffed chicken breast in the bottom of the Ninja Multi-Purpose Pan, and add salt and pepper to the top of the chicken breast.
Then shake and season each chicken breast with Italian seasoning, and drizzle each with olive oil.
Bake stuffed chicken breast until it is nearly cooked through; check with an Instant thermometer and bake till chicken reaches a temperature of 155° internally, about 25 minutes, or up to 35 minutes for larger breasts; if you see any excess juices in the pan, you can remove them.
Top stuffed chicken breast with leftover 1 C. tomato sauce, remaining ¾ C. mozzarella, and 2 Tbsp. of parmesan cheese.
Then finish baking until the cheese is golden and bubbly, and the chicken checks with an Instant thermometer bake until the chicken reaches a temperature of 165° internally, about 4 to 5 more minutes.
Garnish with more basil before serving.