1Preheat oven to 350 degrees F (175 degrees C). Grease a fluted tube pan (such as Bundt(R)) with cooking spray.
2Combine cake mix, 1 cup apple cider, eggs, butter, and vanilla pudding mix in a large bowl; mix until smooth. Pour batter into the tube pan.
3Bake in the preheated oven until a toothpick inserted into the center comes out clean, about 40 minutes.
4Stir confectioners' sugar and 3/4 cup apple cider together in a small bowl to make the glaze.
5Pour glaze over the cake and let soak into the cake and down the sides of the pan, about 30 minutes. Invert onto a plate and cool completely, about 30 minutes.