Slice the orange into even rounds, about ½-inch thick. Stick 2 cloves into the skin of one of the orange slices and 2 into the skin of another orange slice.
Place a large pot on the stove and pour in the wine, apple cider, and sugar along with the cinnamon sticks and orange slices. Heat on medium until it begins to simmer. Turn the heat to low and let sit, continuing to cook for 30 minutes. Stir occasionally.
When finished cooking, add the triple sec, stir, and serve warm.