Preheat the oven to 350 degrees Fahrenheit (175 degrees Celsius) and grease a 9x13-inch baking pan. This will prevent the cake from sticking to the pan, and make it easy to remove once it's done baking.
In a large bowl, whisk together the coconut and sugar. Sift in the flour, and whisk again to combine.
Form a well in the center of the dry ingredients. In a small bowl, whisk together the eggs, and then pour them into the well.
Add enough milk to reach a slightly thickened but runny texture. Whisk everything together to create the batter. Then pour it into the prepared pan.
Bake the cake in the preheated oven for 20 to 25 minutes, or until it's golden brown on top and a toothpick inserted into the center comes out clean.
Remove the cake from the oven and let it cool for 20 minutes. Then pour the simple syrup over the cake before serving.