Preheat your oven to 350°F (175°C). Grease and flour a baking pan.
In a mixing bowl, combine flour, sugar, baking powder, baking soda, and salt.
In another bowl, mix vegetable oil, eggs, and vanilla extract until well combined.
Gradually add the wet ingredients to the dry ingredients, mixing until just combined.
Fold in the pomegranate seeds and diced apples.
Pour the batter into the prepared baking pan and spread it evenly.
Bake for 45 minutes or until a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.