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Preheat oven to 350 and either spray cupcake pan or line with muffin cups.
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Combine flour, baking powder, and vanilla pudding mix.
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In separate bowl, whisk together pumpkin, oil, eggs, pumpkin pie spice, 1 1/4 cups of sugar, baking soda, salt, 1 teaspoon of cinnamon and milk until smooth. Whisk in flour mixture and apples until combined.
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Stir together remaining cinnamon and sugar.
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Divide batter among muffin cups, then sprinkle tops with cinnamon sugar mixture. Bake until puffed and golden brown and toothpick inserted in center comes out clean. 25-30 minutes.
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Cool on rack for 5 minutes, then transfer muffins from pan to cool.