How to Make It
Preheat oven to 375°F. Toss together chicken, pesto, and 3/4 cup of the cheese in a medium bowl; set aside.
Whisk together alfredo sauce and milk in a medium bowl or glass measuring cup; set aside.
Spread about 1/4 cup of the alfredo mixture on bottom of a lightly greased 11- x 7-inch baking dish. Arrange 1/3 of the ravioli in a single layer over the alfredo. Spread half of the chicken mixture over ravioli; pour 1/2 cup alfredo evenly over chicken. Top with 1/3 more of the ravioli, remaining chicken mixture, and 1/2 cup sauce. Top with remaining ravioli, sauce, and cheese.
Bake in preheated oven until golden and bubbly, 30 to 35 minutes. Let stand 5 minutes before serving. Sprinkle with basil.