Frankly, you are fortunate to have been able to obtain coverage for breast reduction via liposuction, since most insurance carriers would consider this "experimental" or not-covered. If, however, your surgeon is removing at least the insurance-mandated amount of breast tissue, then this could potentially be insurance-covered. Good for you!
But any cosmetic portion (the liposuction of the abdomen) of your procedure is NOT covered by your insurance, and you will be responsible for that portion of your operating room, anesthesia, and other charges NOT explicitly related to the breast reduction portion. This would be considered the "cosmetic" portion of your billings, whereas insurance will cover only the "breast" portion of your charges. This may seem like two bills, but in fact it is divided by responsibility for payment. Gone are the days when a woman could have a 30 minute tubal ligation, for example, under general anesthesia, and then pay her plastic surgeon to perform a 2 or 3 hour tummy tuck and get her insurance carrier to cover the entire anesthesia and OR costs.