Infuse the apple cider by steeping the cinnamon sticks in the cider over low heat. Heat cider and cinnamon until it simmers.
Let stand for 10 minutes and remove sticks, and then chill it. Juice 2 lemons into the infused cider. Add the bourbon and 2 cups of ice.
To serve, fill a glass with ice, fill the glass 3/4 of the way with the cider and then top off with 2 ounces Prosecco. Garnish with lemon slices.