Pour the boiling water over tea bags and cinnamon sticks and steep for 5 minutes. Discard tea bags and stir in sugar to dissolve.
In a large jar or pitcher, combine tea, cinnamon sticks, pomegranate juice, orange juice, orange, lemon, lime, and apple. Refrigerate for at least 1 hour and preferably overnight.
Just before serving, stir in carbonated water. Serve in glasses over ice.