Lollipop sticks can be found at crafts stores, or enjoy these little pies by hand.
Preheat oven to 350 degrees. Make pastry dough and divide in half. On a lightly floured work surface, roll out each half to an 1/8-inch thickness. With a 1 1/2-inch floured cookie cutter, cut dough into 32 rounds and transfer 16 to a parchment-lined baking sheet.
Brush lightly with egg, and gently press the top 1 inch of a lollipop stick onto each round. Place 1/4 teaspoon apple butter in center of each round and top with another dough round, pressing edges gently to seal. Brush tops with egg, sprinkle with sugar, and freeze on sheet 15 minutes. Bake until golden brown, 25 minutes, rotating sheet halfway through. Let cool on sheet before serving.