The only thing new about the Madonna Eye Lift is the name. Unfortunately in the field of aesthetic medicine, consumers can be fooled that a new more effective procedure is available simply by giving it a cute name, usually copyrighted. This is especially effective if somehow, the marketer can attach some celebrity connection to the procedure.
The Madonna CO2 Eyelift is a procedure that has been done for years in which a fractional laser is used to create little holes in the eyelid skin, resulting in resurfacing and tightening. It can be very effective for mild skin laxity but for the average patient with moderate eyelid sagging the results will be disappointing.
Depending upon the state laws, almost anyone, physician or otherwise can perform this procedure. Therefore, make sure that you choose someone based upon their reputation for quality results, not because they are listed on the website. Also as a general rule, when being evaluated for a non-surgical procedure, make sure that you are either going to a surgeon for the evaluation or getting a second opinion from a surgeon. They will help you make an educated decision as to whether the procedure is indeed right for you.