Preheat oven to 350°F (175°C). Grease a 9x13 inch baking dish.
In a large bowl, whisk together flour, baking powder, and salt.
In another bowl, beat egg yolks with ¾ cup sugar until light and fluffy. Stir in milk and vanilla.
Gently fold egg yolk mixture into flour mixture until combined.
In a separate bowl, beat egg whites to soft peaks. Gradually add remaining ¼ cup sugar and beat until stiff peaks form.
Fold egg whites into batter gently. Pour batter into prepared baking dish.
Bake for 30 minutes, or until a toothpick inserted into the center comes out clean. Let cool.
In a small bowl, whisk together evaporated milk, sweetened condensed milk, and heavy cream.
Poke holes all over the cooled cake with a fork. Pour milk mixture over the cake.
Refrigerate for at least 4 hours or overnight. Serve chilled.