Preheat oven to 160 °C (320°F) with the fan on (see note 3 if you don't have a fan function) and grease the bottom and sides of two 8 inch cake tins (mine are 3 inches deep), and also line the bottom of the tin with baking/parchment paper (see note 4).
In a bowl, sift together your flour, cornstarch, baking powder and salt. Using a whisk or fork, mix until well combined. Set aside.
In another large bowl, add in your butter, vegetable oil and sugar. Using an electric mixer (hand or stand mixer are both fine - see note 5), cream together for 2 minutes until lighter in colour.
Add in eggs one by one, mixing well in between each addition (about 10-15 seconds between eggs).
Add in your vanilla, coconut essence/extract and half a cup of the coconut milk, and mix until well combined. Now set your mixer aside as the remainder of the batter will be finished by hand.
Add in half of your premixed dry ingredients to your wet mixture, and gently fold it in with a spatula until just combined. Then add in the remaining 3/4 cup of coconut milk, and fold it in until just combined. Lastly, add in the remaining dry ingredients and gently fold it into the mixture until just combined. Do not overmix (see note 6).
Finish off by adding in the shredded coconut and gently fold with a spatula until just combined. Do not overmix the batter.
Distribute the batter evenly into the two 8 inch cake tins, and bake for 33 minutes or until a toothpick comes out clean.
Once baked, allow the cake layers to cool in the cake tins for about 15-20 minutes, and then turn them out onto a wire rack to completely cool before frosting with the coconut cream cheese frosting recipe below.