Add lime wedges, sugar, and mint leaves to the bottom of your cocktail shaker. Use a muddler (or the back of a wooden spoon) to gently crush the mint leaves and lime wedges.
Add ice, rums, and juice to the shaker and shake vigorously for 5-10 seconds.
Pour the contents of the shaker (including ice, mint leaves, etc.) into your glass.
Top with a splash of soda water and more ice as needed.
Notes
Recipe intended for readers 21+Nutrition amounts are an estimate and may vary based on exact ingredients used and serving size.