Minestrone with pasta

This is a great way to use up the "badly cut pasta scraps" (maltagliati) that invariably accumulate after a batch of pasta is rolled. Gather, store & freeze until you're ready to make a batch of soup.
Ingredients
1 tbsp olive oil
1 tbsp butter
1 medium onion chopped
2 sticks celery chopped
3 medium carrots peeled & sliced
1 clove garlic minced
1-2 potatoes chopped
1 (28 ounce) can crushed tomatoes
4 cups broth of choice
1 small zucchini chopped
1 cup fresh green beans chopped
1 (14 ounce) can red kidney beans drained
1 (14 ounce) can white kidney (cannellini) beans drained
1/2 teaspoon Italian seasoning or 1-2 tbsp fresh herbs like basil
3/4 cup uncooked pasta scraps
Salt & pepper to taste
Freshly grated parmesan cheese to taste

Directions
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Add the oil, butter, onion, celery, carrots, and garlic to a large soup pot. Sauté for 7-10 minutes.
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Stir in the crushed tomatoes, broth, zucchini, green beans, red kidney beans, white kidney beans, and Italian seasoning. Increase the heat to high, and bring it to a boil.
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Once the soup is boiling, reduce the heat so it's simmering and cover the pot with the lid slightly open and cook for 20 minutes.
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Stir in the pasta. Continue simmering the soup (I leave the lid off) for another 5-8 minutes or until the pasta is tender. Stir occasionally to stop the pasta from sticking to the bottom.
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Before serving, season to taste with salt & pepper (I am generous with both), stir in the basil (if using), and serve each bowl with some parmesan cheese grated/shaved over top. This minestrone is fairly thick. If you find it too thick, add a splash more broth to thin it out (especially leftovers).