Preheat oven to 400°. Pinch off a piece of dough and roll into a walnut-sized ball. Flatten on your palm to form a 3″ (7.5 cm) disk about ¼” (6 mm) thick. Lay a date disk in center of dough. Fold edges of dough over date to cover. Pinch edges together—the date disk should be covered with an even layer of dough.
Lightly press into cookie mold. Turn mold over and tap top edge lightly against work surface while holding your other hand underneath to catch dough as it falls out of mold. Slide dough onto a parchment-lined baking sheet or silicone baking mat. Repeat with remaining dough and disks.