Prepare sausage according to directions. Cool slightly; cut into 1/4-in. slices.
Prepare pasta according to package directions.
In a large saucepan, saute the onion and garlic in olive oil until tender.
Stir in tomatoes and chicken broth. Bring to a simmer.
Add the broccoli and cooked pasta.
Cook until broccoli is tender, about 5 minutes. Add sausage; toss to combine.