Shape 1/3 of cookie dough into 10, one-inch balls; press into bottoms and up sides of lightly greased mini muffin cups. Shape remaining dough into 10 equal balls; press into bottoms and up sides of lightly greased regular muffin cups.
Bake at 350 degrees; bake mini cookies 8 to 9 minutes; bake regular cookies 10 to 11 minutes.
Cool 5 minutes in tins on wire racks. Remove cookies to wire racks; cool completely.
Tint the frosting with food coloring. Spread frosting over top and sides of each cookie. Place one mini cookie on top of one regular cookie. Decorate with sprinkles. Press a candle into center of each cookie.