In a 6 quart pot combine sugar and 7 cups water. Bring to boil and stir until sugar dissolves. Remove from heat. Stir in tea powder while hot. Add orange juice concentrate, lemonade concentrate and 2 cups cold water. Chill in refrigerator.
When cold mix in vodka. Pour into a plastic container leaving room on top for expansion. Freeze or 24 hours.
To serve, scoop about 1 cup into a tall glass and quickly stir in 1/3 cup lemon-lime soda.