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Lightly butter a 9" square baking dish.
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In a large bowl, combine the oats, flax, sugar, spices, and salt. Set aside.
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In a separate bowl or large measuring cup, mix together the milk, boiled cider, applesauce, butter, and vanilla.
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Stir the wet ingredients into the dry until evenly moistened. Stir in the apple cubes and nuts.
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Spoon the oatmeal mixture into the prepared pan, spreading it into an even layer.
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Cover the pan with plastic and refrigerate the oatmeal overnight.
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Next morning, preheat the oven to 350°. Top the oatmeal decoratively with the thinly sliced apple and sprinkle with Demerara sugar for extra sweetness and crunch, if desired.
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Bake the oatmeal for 55 to 65 minutes, until the edges are bubbly; the center will still appear slightly wet. The apples on top should be tender.
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Remove the oatmeal from the oven, and allow it to cool for 5 to 10 minutes before serving.
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Store baked oatmeal in the refrigerator and reheat individual servings with a little water or milk in a microwave or over a burner.