In a large soup pot, heat olive oil over medium heat. Add onions and carrots, cook 5 minutes to soften, stirring occasionally. Add garlic, stirring for 1 minute. Add chicken broth and tin of diced tomatoes with their juices. Bring to a boil over high heat. Reduce heat to low and simmer, partially covered, for 20 minutes.
Meanwhile, in a small saucepan, cook pasta according to package directions. Drain and set aside.
After soup has cooked for 20 minutes, add white kidney beans and chickpeas, simmering partially covered for 10 minutes.
Remove 2 cups of bean soup and place in food processor. Puree, return to soup pot and bring to a boil over high heat. Add cooked pasta, Parmesan, basil, salt and pepper, simmering 5 minutes. Serve with additional Parmesan cheese.