Pasta Skillet with Kielbasa

Name: Pasta Skillet with Kielbasa
Ingredients: 1 (16 ounce) package penne pasta; 1 cup frozen peas; 1 tablespoon olive oil; 0.5 cup chopped onion; 1 teaspoon minced garlic; 1 pound kielbasa sausage, sliced; 1 (14.5 ounce) can Italian-style diced tomatoes; 1 (4 ounce) can sliced mushrooms; 1 teaspoon white sugar; 1 teaspoon balsamic vinegar; 1 pinch crushed red pepper, or to taste; kosher salt and ground black pepper to taste; 3 leaves fresh basil, julienned, or more to taste; 1 cup shredded Cheddar-Monterey Jack cheese blend