COMBINE water, rice and cinnamon sticks in large bowl; cool. Cover; refrigerate for 2 hours or overnight.
REMOVE cinnamon sticks. Spoon rice into food processor or blender (reserve soaking liquid); cover. Process on high for 3 to 4 minutes. Add reserved soaking liquid and sugar; process for 2 minutes. Strain mixture through a cheesecloth or fine sieve into a pitcher, pressing the rice solids until only a dry paste remains; discard paste. Stir Coffee-mate Original Flavor into mixture.
SERVE over ice. Sprinkle with cinnamon.