In medium saucepot over medium heat whisk C&H Turbinado sugar and water together until sugar dissolves and mixture comes to a boil. Stir in blackberries and bring mixture back to a boil.
Reduce heat to low and simmer, stirring occasionally, for 10 minutes. Remove pot from heat and cool to room temperature.
Press mixture through a fine-mesh sieve into a pitcher with a tight-fitting lid and refrigerate syrup until ready to serve. Reserve sweetened blackberries for drinks.
Fill rocks glasses with ice. Add 1 teaspoon of the reserved blackberries; then, add the orange juice, blackberry syrup, vodka, and orange liqueur.
Stir and serve.
A rocks glass is also referred to as a lowball or Old Fashioned glass for the traditional cocktails served in it over ice.