Italian Garden Rotini

Name: Italian Garden Rotini
Ingredients: 1/4 cup extra virgin olive oil; 1 yellow onion (diced); 3 cloves garlic (minced, about 1 1/2 tsp.); 1 red bell pepper (diced); 1 zucchini (quartered lengthwise and chopped); 1 small to medium eggplant (cut into 1/2-inch pieces); 1/4 - 1/2 tsp. kosher salt, sea salt, or other coarse salt (to taste); 1/4 tsp. black pepper (or to taste); 1 Tbsp. fresh basil leaves (chopped, or 1 1/2 tsp. dried); 1 Tbsp. fresh oregano (or 1 1/2 tsp. dried); 28 oz. crushed tomatoes; 1 Tbsp. brown sugar (optional); 16 oz. tricolor rotini (spiral) noodles (use wheat/gluten-free, if needed); 1/2 cup shredded Parmesan cheese (for serving)