Ice 2-layer cake smooth. Divide cake into 4ths. Pipe tip 12 outline pole at division marks. Mark 3 in. to the right of each pole for blue field.
In each division, starting from bottom of cake, pipe 6 rows of tip 16 stars, alternating red and white rows. Pipe tip 16 blue stars in marked area. Continue piping alternating rows of tip 16 red and white stars to top of cake, ending with red rows. Pipe tip 13 white stars on blue field. Pipe tip 12 ball on top of each flag pole.
Cut cookies using 2 smallest stars; bake and cool. Ice cookies smooth. Sprinkle with sugars.
Attach lollipop sticks to backs of cookies with melted candy; let set.
Cut 30 in. lengths of curling ribbon. Curl ribbon and tie to lollipop sticks. Insert cookies in cake.
One of the most popular techniques, stars come in a range of sizes and styles. Experiment with open and closed stars for variation in look. The star technique is timeless and can be used as a classic border or as a stunning fill-in for the top of a dessert.