When ready to cook, preheat oven to 375°F.
Spread ½ cup of the pesto sauce across the bottom of a 9 by 9 baking dish.
Cut the lasagna noodles in half to turn each one into shorter strips. Lay three strips across the bottom of the dish, slightly overlapping.
Dollop 1 cup of the cheese mixture over the noodles and gently spread across the noodles.
Sprinkle 1 cup of shredded mozzarella on top of the cheese mixture, followed by 2 Tablespoons of Parmesan.
3 cups shredded mozzarella cheese,6 Tablespoons freshly grated Parmesan cheese
Scoop and gently spread ½ cup of the pesto sauce across the cheeses.
Repeat another layer of noodles, cheese mixture, mozzarella, Parmesan, and pesto sauce. You should be out of the ricotta cheese mixture at this time.
Prepare the top layer by laying out the third layer of noodles. Top with the remaining pesto sauce.
Sprinkle with the remaining 1 cup of mozzarella and 2 Tablespoons of Parmesan.
Cover with tin foil or a lid and bake for approximately 50 minutes. The edges of the dish should be bubbling and the top cheese melted. Remove the lid/foil and finish baking 10-15 minutes or until the top is lightly browned. (Want a darker top? Remove the cover earlier or turn on the broiler for a few minutes).
Remove from oven and let sit 15 minutes before cutting and serving.