Ready in 30 minutes
Make three days ahead, if you can leave it alone that long!
Bring ruby Port and broken cinnamon sticks to boil in heavy medium saucepan. Reduce heat to medium and simmer mixture 5 minutes.
Add dried cranberries to saucepan; simmer until slightly softened, about 3 minutes. Add fresh cranberries, 3/4 cup water, and sugar; bring to boil, stirring until sugar dissolves. Reduce heat to medium-low; cover and simmer until cranberry sauce thickens and is darker in color and berries collapse, stirring often, about 20 minutes. Transfer sauce to bowl; cool. Discard cinnamon sticks. DO AHEAD: Can be made 3 days ahead. Cover and chill. Bring to room temperature before serving.