Stir together first 4 ingredients in a large bowl. Cut in butter and shortening with a pastry blender until mixture resembles small peas.
Mound flour mixture on 1 side of bowl. Drizzle 1 Tbsp. apple cider along edge of mixture in bowl. Using a fork, gently toss a small amount of flour mixture into cider just until dry ingredients are moistened. Move mixture to other side of bowl, and repeat procedure with remaining cider, 1 Tbsp. at a time, until a dough forms.
Gently gather dough into 2 flat disks. Wrap in plastic wrap, and chill 1 to 24 hours.