Preheat oven to 160C (350F). Lightly butter a 9-by-13-inch baking dish.
CAKE
In a large bowl, using an electric mixer with a whisk, beat eggs and 3/4 cup sugar on high until pale and thick - approx. 4 minutes.
Add vanilla and 50 mls of Cointreau, beat to combine. With mixer on low, gradually add flour and salt, beat to combine.
Gently fold in melted butter until incorporated.
Transfer batter to dish and bake until top is golden brown and a toothpick inserted in center comes out clean, 30 to 35 minutes, rotating dish halfway through.
MILKS
In a medium bowl, whisk together milks. Poke warm cake all over with a skewer or fork, then slowly spoon milk mixture over top and let cool to room temperature. Cover and refrigerate.
TOPPING
At least one hour before serving, whip cream and 1/4 cup of sugar together until soft peaks form. Fold in Cointreau then cover the cake with the cream, scatter with the fruit.