Preheat oven to 350°F. Spray 12-cup Bundt pan with nonstick spray. Sift
flour, cinnamon, baking soda, and salt into medium bowl. Transfer 3
tablespoons flour mixture to Bundt pan and tilt to coat. Set pan aside.
Place apples and 2 tablespoons flour mixture in another medium bowl;
toss to coat apples. Combine 1 cup brown sugar, vegetable oil, 1 cup
sugar, eggs, and 3 teaspoons vanilla in large bowl. Using electric
mixer, beat until mixture is thick, about 4 minutes. Gradually beat in
remaining flour mixture. Fold apple mixture and pecans into batter;
transfer to prepared Bundt pan.
Bake cake until tester inserted near center comes out clean, about 1
hour. Transfer cake in pan to rack. Let stand while making caramel.
Melt butter in heavy small skillet over medium heat. Whisk in
remaining 1 cup brown sugar, then milk. Continue to whisk until topping
is smooth and blended and comes to boil, about 5 minutes. Whisk in
remaining 1 teaspoon vanilla. Spoon 1/4 cup hot caramel topping over
warm cake in pan. Let stand until topping is absorbed into cake, about
15 minutes. Turn cake out onto platter. Pour remaining warm topping over
cake. Let stand until cool, at least 1 hour. (Can be made 1 day ahead.
Cover with cake dome. Let stand at room temperature.)
Makes 12 servings.