In the blender process the cooked rice, water, milks and cinnamon sticks until smooth. Pass through a strainer and discard the solids. If you are using the food coloring and not the berries for coloring, reserve 2 cup of the horchata, divided. Chill the horchata.
For the blue part of the flag:In the clean blender process the blueberries with the sugar until smooth. Add a little horchata if the mix is too thick.Otherwise, if you are using the food coloring, color 1 cup of horchata with 2 - 3 drops of blue food coloring. Keep chilled until you use it. For the red stripes:In the clean blender process the strawberries with the sugar until smooth. Add a little horchata if the mix is too thick.Otherwise, if you are using the food coloring, color 1 cup of horchata with 2 - 3 drops of red food coloring. Keep chilled until you use it. Assembly:It is very important to wait in between color layers. Start with filling up to 1/3 of each popsicle mold with the blue colored horchata or the blueberry mix. Freeze for, at the very least, 3 hours, preferably overnight. Next, add uncolored (white) horchata up to 2/3 of the popsicle mold; put your popsicle sticks in. Freeze for at least 3 hours or, if possible, overnight.
Add the red colored horchata, blended strawberry/raspberry mix, or Hibiscus tea last, filling up to the brim, the upper third of the molds. Freeze again for 3 hours at least, preferably overnight.
Unmold and enjoy!