HEAT oil in large saucepan on medium-high heat. Add carrots and celery; cook and stir 3 min. Stir in garlic; cook 1 min. Add broth, water, barbecue sauce and chicken; stir. Bring to boil.
ADD noodles; cook just until tender, stirring occasionally. Simmer 5 min. on medium-low heat until vegetables are tender.
LADLE into 4 bowls; top with cheese.