A machine for intended use in feeding and completing a partially formed carton is disclosed. In one embodiment, the machine includes an overhead conveyor with selectively actuated, depending lugs that engage and convey the carton in a first direction while a first flap on a lid is folded and sealed. The lugs on each conveyor may be closely spaced or overlapping to allow for selective actuation at a desired instant without the need for timing the corresponding chain or the carton feed to the machine. A diverter located at a transition between the forward and return runs of the overhead and takeaway conveyors actuates the lugs in a controlled fashion. Related methods of feeding and forming cartons are also disclosed.