Prepare sausage according to directions.
Remove from stove; cool slightly; cut into 1/4-in. slices.
Prepare pasta according to package directions.
In a large saucepan, using olive oil, sauté the onion and garlic 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.