Combine first 3 ingredients in a saucepan over high heat. Bring to a boil, stirring until sugar dissolves. Remove from heat; let stand 15 minutes. Strain; discard solids.
To prepare each cocktail, muddle 3 mint leaves and 1 rind strip in a cocktail shaker using the handle of a wooden spoon. Add 2 1/2 tablespoons ginger syrup and 1/2 cup orange juice to shaker; shake well. Pour mixture into an ice-filled glass. Top with 1/2 cup soda; stir. Garnish with an orange wedge and a mint sprig.
This took some time to prepare but it was well worth the effort. I made the ginger syrup in advance and next time I would also juice the oranges beforehand because that took longer than expected. I used 3 1/2 oranges to get 1 1/2 cups of juice. Make sure you use blood oranges as they have a very different and better taste than regular Valencia oranges. My daughter said that these would win a contest because they are so good.
Sign Up for our Newsletter
Join our newsletter for free recipes, healthy living inspiration, and special offers.