I haven't heard of a mini breast lift. There are multiple techniques to lift the breast. During an in person consultation, your surgeon will determine what degree of breast ptosis is present, and the appropriate surgical technique to raise the nipple/areola and reshape the breast. Breast lifts vary between scars only around the nipple (doughnut incision), to lifts that include scars from the nipple to the crease below the breast (lollipop incision). Severe ptosis can require a third incision within the crease below the breast (anchor incision).
Unfortunately, terminology utilized in and around the field of plastic surgery can be quite confusing. Technically, there is no universally accepted “mini lift”. Exactly what type of breast lift that a specific patient will benefit from will depend mainly on her physical examination. The more breast ptosis (sagging), the more powerful of a breast lift required to change the patient's breast position on her chest wall. Generally speaking, the more ptosis present, the more skin excision ( and the more scarring) necessary. I hope this, and the attached link (dedicated to breast lift surgery concerns) helps. Best wishes.