Prepare sauce: Put basil, garlic, pine nuts, parsley, salt, and oil into blender or food processor and blend into a smooth paste. Add Parmesan cheese and process a few seconds more.
Prepare filling: In a mixing bowl, beat the ricotta, egg, ½ cup Parmesan cheese, 1 cup mozzarella, and ½ cup Pesto Sauce (save any leftover sauce in a covered glass jar in the refrigerator for use at some other time).
Preheat oven to 350 degrees F. Grease a 9x13-inch baking dish and place in it one layer of cooked lasagna noodles. Cover with ricotta-pesto mixture and then another layer of lasagna noodles. Sprinkle top layer with remaining mozzarella cheese and remaining Parmesan cheese. Bake for 25 minutes.