They are very different

A regular butt lift will take sagging buttocks tissue and lift it up by cutting out and tightening loose skin. It typically will not add volume to your bottom end unless an autoaugmentation procedure is used at the same time. An autoaugmentation procedure uses the deep tissues over the gluteus muscles and fold them up to bulk up the newly lifted tissues. The scarring and downtime can be significant. It is a good procedure for patients with loose skin (eg. massive weight loss, etc.) A Brazilian butt lift is actually a procedure that takes fat harvested during liposuction of other areas and after preparation it gets injected into the gluteal area to volumize the buttocks. The scarring is minimal and the so is the down time. Survival of fat is variable so it is possible to need additional touchups down the road.