Heat olive oil in a large deep sauce pan over high heat. Saute onions and garlic until lightly browned. Reduce heat to medium-high and add tomatoes, vinegar and chicken stock; simmer for about 8 minutes.
Stir in red and black peppers. Simmer until slightly thickened. Toss pasta (either noodles or filled pasta) gently, then slide onto the plate. Garnish with torn basil and serve peels of parmesan or asiago cheese.