I made cranberry applesauce for potato pancakes last year. Since then I've been making homemade applesauce almost every week. Hubby loves it. I make a big batch and it's usually gone within a couple days. I've perfected the applesauce so that it's not overly cranberry-ie.
Core and cube the apples. I leave the skin on, but you can peel them if you want. Put cubed apples into a very large pot. Add the cranberries. Fill the can once with fruit juice (I use apple cider) and pour over apples. Fill can with water one or two times and pour over apples.
Turn on heat to medium. Cover apples and allow to cook until apples are softened, stirring every couple of minutes.
Add the sugar and cinnamon and stir. Taste and add more sugar if desired. Turn off heat and allow applesauce to cool to room temperature.