Step 1Heat the olive oil in a medium saucepan over medium-high heat. Add the onion and the garlic and cook, stirring constantly, until they're very fragrant, about 1 to 2 minutes. Add the tomatoes and bring to a boil. Reduce the heat to medium-low and simmer the sauce until the tomatoes have softened and the sauce has thickened slightly, about 20 minutes. Stir in the thyme, and salt and pepper to taste. Cook another 2 to 3 minutes. Taste the sauce and add the sugar if the sauce is slightly bitter. Add the crushed red pepper, if you want, for a little more punch. Makes 2 1/2 cups.
Step 1Heat the broiler.
Step 2Place the flour in a shallow dish, season it with salt and pepper and set it aside. Beat the egg with the water in another shallow dish and season it lightly with salt and pepper. Combine the bread crumbs with the grated Parmigiano in another shallow dish; set aside.
Step 3Heat the oil and butter over medium heat in a large skillet. While the oil and butter are heating, dredge the cutlets in the flour, then dip them in the egg and coat them with the bread crumbs. Add the cutlets to the skillet and cook until golden brown, about 1 to 2 minutes a side.
Step 4Spoon about 1/4 cup of tomato sauce over each cutlet, top them with the mozzarella slices, then broil the cutlets 4 inches from the heat source until the cheese has melted and starts to bubble, about 1 to 2 minutes.