Preheat oven to 350.To prepare cake, lightly spoon flour into dry measuring cups; level with a knife.
Combine flour and next 5 ingredients (through salt) in a large bowl; stir with a whisk.
Combine 1 cup sugar, butter, and oil in a large bowl; beat with a mixer at medium speed until light and fluffy (about 5 minutes).
Add eggs, 1 at a time, beating well after each addition.
Combine buttermilk and 1 cup cider in a small bowl.
Add flour mixture and cider mixture alternately to sugar mixture, beginning and ending with flour mixture. Stir in vanilla.
Pour into a Bundt pan coated with cooking spray.
Bake at 350 for 45 minutes or until a wooden pick inserted in center comes out clean. Cool in pan 10 minutes on a wire rack; remove from pan. Cool completely on wire rack.To prepare glaze, combine 1 cup cider and 1 teaspoon sugar in a small saucepan over medium-low heat; bring to a simmer. Cook until reduced to 1/4 cup (about 15 minutes).