In a small saucepan, combine 1 quart water with 4 bags green tea and bring to a rapid simmer. After 10 minutes, remove the tea bags, then continue simmering until the tea is reduced to 1 cup. Set aside to cool.
In a cocktail shaker filled halfway with ice, combine 2 ounces green tea reduction, 2 ounces cranberry juice, 1 ounce pomegranate juice, 1 teaspoon honey and 3 mint leaves. Shake for 15 seconds and double strain over ice.
Top with 2 ounces of club soda. Garnish with fresh cranberries and a sprig of mint on a skewer.