Heat 1 tablespoon extra-virgin olive oil in a saucepan over medium heat and sauté the minced garlic for about 1 minute until fragrant.
Add the canned diced tomatoes with their liquid to the pan, bring to a boil, then reduce to a simmer. Season with 1/2 teaspoon salt, 1/4 teaspoon black pepper, and 1 1/4 teaspoons dried oregano. Simmer for 10–15 minutes until the sauce slightly thickens.
Preheat the oven to 375°F (190°C). Pour 1 cup of the sauce into the bottom of a 13 x 9-inch baking dish and spread evenly.
In a mixing bowl, combine 1/2 cup grated Parmesan, 2 cups shredded part-skim mozzarella, 1/2 cup ricotta, 1/4 teaspoon black pepper, and 1 teaspoon dried oregano. Reserve 1/2 cup of this cheese mixture for topping.
Lay one boiled lasagna noodle flat, spread a portion of the cheese mixture evenly over the noodle, and drizzle about 1 tablespoon of sauce over the cheese. Roll the noodle tightly and place seam-side down in the prepared baking dish. Repeat with remaining noodles.
Pour 1 1/2 cups of sauce over the arranged rolls, then sprinkle the reserved 1/2 cup cheese mixture evenly on top.
Loosely cover the dish with foil and bake in the preheated oven for 25–30 minutes, until the cheese is melted and heated through.
Let the rolls rest for a few minutes before serving.