A carton feeding and shuttle machine includes first and second servo drives for driving first and second belts positioned on a plurality of pulleys, a first block attached to the first belt and supporting a first support shaft and a second block attached to the second belt and supporting a second support shaft. A controller controls the servo drives for driving the first and second belts. A linkage assembly includes a plurality of links configured to move a plucking head along a shaft in response to movements of the first and second belts. Specifically, relative movement of the first and second belts pivots first and third links about a first support shaft and second and fourth links about a second support shaft drawing a base along a slide shaft and extending the plucking head from a first position to a second position for engaging a carton blank in a carton blank stack.