Abstract: A machine for baking thin wafers of the type which are foldable to form fortune cookies includes an oven, a parallel chain conveyor that moves continuously in a plurality of horizontal runs through the oven, and a plurality of baking units carried by the conveyor. Each baking unit consists of two associated platens mounted in movable face-to-face parallelism. The wafers are baked in cupped containers which are carried by one of the platens and which are sealed by the other platen during baking. Following a baking period, the platens are inverted. A mechanism is provided to remove baked wafers from the inverted platens. Finally, a mechanism is provided to carry the removed wafers to discharge from the machine.