Weigh or lightly spoon flour into dry measuring cups; level with a knife. Combine flour and next 6 ingredients (through salt) in a bowl, stirring with a whisk.
Place butter, 5 tablespoons granulated sugar, and brown sugar in a large bowl; beat with a mixer at medium speed 5 minutes or until fluffy. Add egg; beat 30 seconds. Add molasses; beat just until combined. Add flour mixture to butter mixture; beat at low speed or just until combined. Cover and chill 30 minutes.
Preheat oven to 350°.
Shape dough into 24 balls, about 1 1/2 tablespoons each. Roll balls in remaining 3 tablespoons sugar; place 2 inches apart on baking sheets covered with parchment paper. Bake at 350° for 12 minutes or just until set. Cool 3 minutes on pan; remove to a wire rack.
BAKE A SECOND BATCH Double the dough and bake these cookies without a hitch. To mail, wrap small stacks together using plastic wrap. Nestle the stacks in a box with plenty of padding, or stack in a wide-mouth canning jar with crumpled parchment or wax paper in the headspace under the lid. Place the jar in a box with padding for mailing overnight.
MyRecipes is working with Let's Move!, the Partnership for a Healthier America, and USDA's MyPlate to give anyone looking for healthier options access to a trove of recipes that will help them create healthy, tasty plates. For more information about creating a healthy plate, visit www.choosemyplate.gov