Two-step Turning-in Machines are for accurate placement of the cover on the forming belt. The cover is first placed on the forming belt and oriented so that the head and tail of the cover is turned-in first. A foot pedal activates two opposing pressing rollers that move inward towards each other and wind the forming belt. The forming belt, then upon contact with the boards, causes the cover material to simultaneously turn-in over the boards. The whole operation is then repeated by rotating the cover 90 degrees to turn-in the front and back sides.