Fill a large pot with lightly salted water and bring to a rolling boil. Stir in lasagna noodles and return to a boil. Cook pasta uncovered, stirring occasionally, until just flexible, 4 to 5 minutes. Transfer noodles into cold water until cooled; drain very well.

Preheat the oven to 475 degrees F (245 degrees C). Line a baking sheet with parchment paper, and grease parchment with 1 tablespoon olive oil.

Cut noodles in half lengthwise. Arrange noodles in evenly overlapping rows on the prepared baking sheet. Brush with melted butter, and use fingers to rub some butter between the noodles.

Bake noodles in the preheated oven until they are golden, blistered, and are beginning to brown with crispy outside edges. Let cool; cut into bite-sized pieces.

Meanwhile, add 2 tablespoons olive oil to a soup pot, and place over high heat. Add beef and sausage. Use a spatula to break up the meat into small pieces; cook without stirring until liquid evaporates and meat begins to sizzle in its own fat, then continue to cook and stir until meat begins to brown, about 7 minutes.

Add onions, garlic, tomato paste, red pepper flakes, dried oregano, black pepper, and kosher salt. Cook and stir until onions begin to turn translucent, 3 to 4 minutes.

Stir in chicken broth, tomato sauce, and water. Bring to a simmer, reduce heat to medium low, and simmer for 45 minutes.

Stir ricotta cheese, mozzarella cheese, and Parmesan cheese together in a bowl; set aside.