In a large pitcher or punch bowl, combine the cranberry juice, orange juice, and orange liqueur.

Stir the mixture gently to combine and refrigerate until thoroughly chilled.

Just before serving, slowly pour the chilled Prosecco into the juice base to maintain carbonation.

Add the fresh cranberries and orange slices to the bowl or pitcher.

Fill individual glasses with ice and pour the punch over the ice.

Garnish each glass with a sprig of fresh rosemary and serve immediately.