Step 1

In a large pot over medium-high, bring 3 quarts water to a boil. Add the pasta and 1 tablespoon salt, then cook, stirring occasionally, until just shy of al dente. Reserve about 2 cups of the pasta cooking liquid, then drain; set aside.

Step 2

In the same pot over medium-high, combine 1 tablespoon oil and the pancetta. Cook, stirring, until it has rendered some of its fat and begins to brown, about 2 minutes. Add the sausage and cook, breaking it into small pieces, until browned, about 3 minutes. Using a slotted spoon, transfer half of the pancetta-sausage mixture to a small bowl; set aside.

Step 3

Into the pancetta-sausage mixture in the pot, stir the tomatoes. Bring to a simmer over medium and cook, stirring, until thickened, 6 to 8 minutes. Stir in 1 cup of the reserved pasta water, then the pasta. Cook, stirring and tossing, until the pasta is al dente, 3 to 5 minutes. Meanwhile, in a small bowl, whisk together the remaining 2 tablespoons oil, the egg and yolks, pecorino, 1 teaspoon pepper and ¼ cup of the reserved pasta water.

Step 4

Remove the pot from the heat. Add the egg mixture and reserved pancetta-sausage mixture. Stir until the sauce thickens slightly and clings to the pasta, about 2 minutes. If needed, add reserved cooking water 1 tablespoon at a time to adjust the consistency. Taste and season with salt. Serve sprinkled with additional pepper and cheese and drizzled with additional oil.