What are the kinds closed reduction of fractured bones?

Closed versus Open: Closed reduction means getting the fracture re-aligned without having to cut the skin i.e. The bone fragments can be manipulated with assistance of x-ray/fluoroscopy. This can be done under different forms of anesthesia sometimes with an active reduction maneuver or sometimes passively i.E with gravity, depending on the exact location and type of fracture.

It's all the same: Closed reduction just means the bones are returned (reduced) to their normal position, without having to open up the skin and muscle to see and manipulate the bone. Some times local or general anesthetic is needed to perform the reduction. The reduced bones are then immobilized until healing is complete, about 6 weeks.