Preheat oven to 350 F. Defrost chicken if necessary, and put it into a 10 x 15 oven-safe dish, along with the asparagus.
Mix 1/4 cup balsamic vinegar with minced garlic and sugar.
Pour mix over chicken and asparagus, and marinate in fridge for an hour or so, if desired.
Place dish into oven and cook for 20-25 minutes, or until the chicken is done.
While the chicken and asparagus are roasting, place chopped mozzarella, basil and tomato in a bowl.
Mix 1/4 cup balsamic vinegar with extra virgin olive oil and honey. Pour over tomato basil mozzarella mixture and stir to combine. Let marinate until chicken is done.