Preheat oven to 350 degrees F and spray donut pan with non-stick spray. Set aside.
In a large bowl, combine the flour, baking soda, baking powder, 2 teaspoons of cinnamon, pumpkin pie spice, and salt. Set aside.
Next, whisk together the apple cider, 2 tablespoons of melted butter, egg, brown sugar, milk, and vanilla extract. Carefully pour into the dry ingredients and stir until smooth.
Spoon the batter into the donut cavities and bake for about 10-11 minutes or until the tops are lightly browned and the donut bounces back, when touched. Transfer to a wire rack and let the donuts cool for about 5 minutes.