Preheat oven to 350°F (175°C). Grease and flour a 9x13-inch baking pan.
In a bowl, mix flour, baking soda, cinnamon, and nutmeg.
In a separate bowl, whisk together oil, granulated sugar, and brown sugar. Add eggs, one at a time, until smooth.
Gradually add dry ingredients to wet ingredients, mixing until just combined. Fold in apples and pecans.
Pour batter into prepared pan and bake for 45-50 minutes.
Meanwhile, prepare the glaze by melting butter and brown sugar in a saucepan. Stir in cream and let simmer for 2 minutes.