To make the spiced apple juice, combine the apple juice, cinnamon sticks and star anise in a sealable container like a mason jar. If using optional spices, add them now. Seal the container and refrigerate for at least 1 hour.
Shake well before using.
To make the cocktail, fill a rocks glass with ice. Pour the spiced rum and spiced apple juice over the ice. Stir well. Top with sparkling cider and lemon bitters to taste..