Orecchiette With Spicy Sausage

Name: Orecchiette With Spicy Sausage
Ingredients: Kosher salt; 12 ounces orecchiette pasta; 2 tablespoons extra-virgin olive oil, plus more for drizzling; 8 ounces fresh chorizo or other spicy sausage, casings removed; 2 spring onions (white and light green parts only), thinly sliced, plus more for topping; 2 cloves garlic, thinly sliced; 8 ounces cremini mushrooms, sliced; Freshly ground pepper; 2 cups cherry tomatoes, halved; 1/2 cup low-sodium chicken broth; 1/2 cup grated pecorino or Parmesan cheese, plus more for serving