Put diced beets in a small saucepan cover with water and boil until soft, about 1/2 hour, then allow the beets to cool. Drain beets, but reserve a couple of tablespoons of the reddish water for later. Put the beets in a food processor or blender with 2-3 tablespoons of fresh water, and process until smooth.
Put the puréed beets into a 2-cup measure. Add enough applesauce to reach the 2-cup mark. Add the 2 tablespoons of red water, vanilla extract, and vinegar to the beets, stirring well.
No fat, no eggs. Serves 6.
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