PREPARE pasta according to package directions.
HEAT oil in large, nonstick skillet over medium heat; add zucchini, carrots, corn and garlic. Cook, stirring occasionally, for 2 minutes. Add broth, marinara sauce, beans and thyme; reduce heat to low. Cook, stirring occasionally, for 4 minutes. Add spinach; cook for 1 minute. Toss pasta with sauce. Top with cheese; serve immediately.