01 - Combine granulated sugar and water in a small saucepan. Heat over medium heat, stirring continuously until the sugar completely dissolves, approximately 2 to 3 minutes. Remove from heat and allow to cool to room temperature.
02 - In a high-speed blender or food processor, purée the fresh or thawed raspberries with lemon juice and finely chopped mint leaves until a smooth consistency is achieved.
03 - Pass the raspberry purée through a fine mesh sieve into a large bowl to eliminate all seeds, ensuring a smooth sorbet base.
04 - Thoroughly stir the cooled simple syrup into the strained raspberry mixture until well combined.
05 - Pour the prepared mixture into an ice cream maker. Churn according to the manufacturer's instructions, typically for 20 to 25 minutes, until the sorbet reaches a soft-serve consistency.
06 - Transfer the churned sorbet into an airtight container. Freeze for a minimum of 4 hours, or until the sorbet is firm enough for scooping.
07 - Serve the refreshing sorbet in chilled bowls or glasses, optionally garnished with additional fresh mint leaves.