Heat oven to 350°F. In small bowl, stir apple pie filling and apple pie spice until well blended.
In large bowl, break up cookie dough. Stir or knead in flour until well blended. Sprinkle work surface with additional flour; coat all sides of dough with flour. With rolling pin, roll dough to 1/8-inch thickness, adding flour as needed to prevent sticking. With floured 3-inch round cutter, cut out 16 dough rounds, rerolling scraps as needed. Spoon about 1 tablespoon apple filling onto center of 8 dough rounds; top with remaining 8 dough rounds. Press edges with fork to seal. Place 2 inches apart on ungreased cookie sheets. Sprinkle with cinnamon-sugar.
Bake 15 to 17 minutes or until edges are light golden brown. Cool 2 minutes; remove from cookie sheet to cooling racks. Cool completely, about 20 minutes.