What causes lipo burns? Can they be corrected?

Conventional liposuction does not burn anything. Laser and ultrasonically assisted liposuction delivers Electromagnetic energy to the tissues it is converted to heat. This can create Burns.

Skin damage from liposuction is very unusual, but can happen when energized liposuction machines (like laser or ultrasonic) come too close to the skin or are left in contact for too long with the skin.  Often these areas will heal on their own but I cannot comment about your case specifically.A board-certified plastic surgeon with experience is your best option when seeking guidance and recommendations about liposuction.

Depending on the type of liposuction, you can have thermal injury to the tissues including the skin. It could be from mechanical injury or from energy delivered by ultrasound, lasers or other energy devices.I would definitely go visit with a board-certified plastic surgeon to look at your burns. Some of these may be treated with conservatively. Some may need surgery depending on the depth and degree of tissue injury.