Preheat the oven to 375º F.
Ladle about 3/4 cup of the meat sauce into a 11.5 x 8-inch baking dish. (These are the dimensions of the pan I used. You can use something close to that.)
Spread the sauce over the bottom to cover as much as you can—it doesn't have to be perfectly even.
Arrange noodles lengthwise, side by side, to cover the bottom of the baking dish. Spoon about 2 cups of meat sauce over the noodles to cover the noodles in an even layer. Sprinkle the sauce evenly with ½ cup of the grated cheese.
Place a single layer of noodles, now crosswise, over the cheese.
With a spatula, spread the ricotta mixture evenly over the noodles.Again, arrange a single layer of noodles, lengthwise, over the ricotta.
Distribute the sliced mozzarella in an even layer over the noodles.
Spread 1 cup of the meat sauce over the mozzarella, then sprinkle 1 cup of grated cheese over the sauce.
Cover the cheese with a layer of noodles arranged lengthwise.
Spoon enough meat sauce, about 2 cups, over the noodles in an even layer and sprinkle the sauce with the remainder of the cheese.
Loosely cover the lasagna with tin foil and bake for 25 minutes.
Remove the foil and bake for another 5 minutes to brown the cheese; you could also give your lasagna a few minutes under the broiler to really brown the cheese and give youa. few crispy noodles on top.
Let the lasagna rest for 15 minutes before serving. Garnish with chopped fresh parsley.