Preheat your oven to 325°F (163°C) and grease a 9x13-inch baking pan with butter or cooking spray.

In a medium bowl, whisk together the flour, baking soda, cinnamon, nutmeg, and salt.

In a large mixing bowl, beat together the vegetable oil, granulated sugar, and brown sugar until smooth. Add eggs one at a time, then stir in the vanilla extract.

Gradually add the dry ingredients to the wet mixture, mixing on low speed until just combined.

Fold in the chopped apples with a wooden spoon, ensuring they are evenly distributed.

Pour the batter into the prepared baking pan and bake for 50-60 minutes, checking for doneness with a toothpick.

While the cake bakes, combine the butter, brown sugar, granulated sugar, heavy cream, and vanilla extract in a saucepan and heat over medium until simmering.

Once the cake is done, pour the warm glaze over the cake and let it absorb before serving.