Gather your ingredients so that you have everything close at hand on the counter or table.
In a large stainless steel bowl or floured workspace, stir together the flour and salt. Create a well in the center and add the eggs and olive oil. Gradually mix the egg mixture into the flour using a fork or your fingers, eventually bringing the ingredients together to form a firm dough. You may need to add a few drops of water if the dough feels too dry.
Transfer the dough to a flat surface and knead the dough until it's smooth, 3-4 minutes. Try to refrain from adding extra flour when kneading as this will give your pasta a floury taste. Dribble a little olive oil over the dough and place in a plastic bag. Allow to rest for 30 minutes.
Prepare the Sauce
While the dough rests, prepare the sauce. In a large saucepan, brown the sausage and burger. Add the garlic and onions and cook until they are tender, about 1-2 minutes. Add the crushed tomatoes. Season with dried basil, salt, pepper, and red pepper flakes. Simmer until thickened about 30-35 minutes.
Make the Filling
In a medium bowl, combine the ricotta cheese, grated Parmesan, eggs, Italian seasoning, and salt and pepper. Mix well. Refrigerate until ready to assemble the lasagna.
Roll the Pasta
Preheat the oven to 375 degrees. While the sauce cooks, continue with the pasta. Prepare a large workspace dusting it with flour. Divide the pasta into thirds, returning the extra dough to the bag until ready to use.
Flatten one piece of dough with a rolling pin to match the size of your pasta roller. Feed the dough through the machine, using the first setting of your machine. Pass the pasta through once, and then fold it into thirds and pass it through again. After that, continue feeding the pasta sheet through the machine at each level (3, 4, 5...) until you reach the desired thickness. For lasagna, I go to 6. Cut this strip of pasta in half, which should measure about 10-11 inches after it has been cut.
Place each of the thin sheets of pasta on the floured workspace, without touching. Repeat with the remaining dough for a total of six sheets of pasta. Cut each of these sheets in half lengthwise to form narrow strips, for a total of 12.
Next prepare three baking sheets lined with damp kitchen towels. Bring a large pot of water to boil adding 2 teaspoons salt. Set up a large roasting pan filled with ice water next to the boiling pasta water. Cook the strips of pasta, a few at a time for just a little bit, 1-2 minutes once they return to a boil. Remove from boiling water and slip them into the ice water to cool. Then place them on the damp kitchen towels. Repeat until all of the pasta strips have been cooked.
Assemble the Lasagna
Prepare a 12x16 inch lasagna pan by spreading olive oil along the bottom and sides. To assemble the lasagna, spread 1 cup sauce over the bottom of the pan. Place three strips over the sauce, overlapping if necessary. Spread another cup of sauce over the pasta and layer with three more strips. (You have now used 6 of your pasta strips and two cups of your sauce.)
Next, spread 1 cup sauce, half of the filling, and half of the sliced mozzarella. Repeat with another layer of pasta, 1 cup sauce, the remaining filling, and the remaining slices of mozzarella.
Top with final three strips of pasta. Pour remaining sauce over the pasta and sprinkle with 1 cup grated Parmesan.
Tent the lasagna with foil, making sure it doesn't touch the top and bake until bubbly, about 25 minutes. Uncover and bake another 20 minutes until the top is golden and crusty. Allow to rest for 10-12 minutes before cutting into squares to serve.
Serve with your favorite bread and a salad. Serves 8-10.