In a small bowl, combine the white sugar, brown sugar, and cinnamon. Set aside

Melt the butter over medium-high heat in a large cast-iron or non-stick skillet. Once butter has melted, add the sliced apples and sprinkle with cinnamon-sugar mixture. Cook for about 12 minutes, stirring often until apples are tender. Remove the apples from the pan and set aside.

In a small pyrex cup, whisk together the apple cider and cornstarch. Add to the skillet and stir constantly for 1 minute, until it has thickened. Add apples back into the pan, stir gently to combine then serve immediately.