1. Preheat oven to 350°.
2. Weigh or lightly spoon flour into dry measuring cups; level with a knife. Combine flour and next 4 ingredients (through salt) in a bowl; stir well.
3. Place sugars and butter in a large bowl; beat with a mixer at medium speed until light and fluffy. Add vanilla and egg; beat well. Gradually add flour mixture; beat at low speed until just combined. Fold in apple and caramel bits.
4. Drop dough by 2 teaspoonfuls 2 inches apart onto baking sheets lined with parchment paper. Flatten balls slightly with hand. Bake at 350° for 9 minutes. Cool on pans 3 minutes. Remove cookies from pans; cool completely on wire racks.