Muddle the mint:

Add the fresh mint leaves and sugar to a cocktail shaker or sturdy glass. Gently muddle them together to release the mint's fragrant oils. Avoid crushing the leaves too aggressively, as this can make the drink taste bitter.

Add the liquids:

Pour in the white rum, cranberry juice, and freshly squeezed lime juice. Stir or shake briefly until everything is well combined and the sugar has dissolved.

Prepare the glasses:

Fill two serving glasses with ice cubes. You can use tall mojito glasses or any clear glasses that show off the beautiful cranberry-red color.

Pour the mixture:

Divide the cranberry and rum mixture evenly between the prepared glasses.

Add the soda water:

Top each glass with soda water or club soda. Gently stir with a cocktail spoon to combine without losing too much carbonation.

Garnish and serve:

Finish each glass with fresh cranberries, lime slices, mint leaves, and a sprig of rosemary. Serve immediately while cold and refreshing.