A method of at least partially erecting a carton with a carton forming system includes loading a blank in a blank infeed assembly, the blank having a plurality of panels and a plurality of end flaps foldably connected to a respective panel of the plurality of panels. The method further includes positioning the blank on at least one conveyor assembly, operating the at least one conveyor assembly to move the blank in a downstream direction of the system toward a carton erection assembly, the carton erection assembly including an end flap engagement assembly positioned adjacent the at least one conveyor assembly, and rotating the end flap engagement assembly such that a portion of the end flap engagement assembly contacts and moves at least one end flap of the plurality of end flaps of the blank as the blank moves in the downstream direction.