Pouding chomeur (Canadian Dessert)

In a large bowl, using an electric mixer, beat the butter and sugar until the mixture is light.
Add the eggs and vanilla and mix.
In another bowl, mix the flour and baking powder.
Alternate flour mixture and milk with butter mixture.
Pour into greased 13-by-9-inch pan.
MAPLE SAUCE.
In a large saucepan, bring the syrup, brown sugar, cream and butter to a boil and stir constantly.
Reduce heat and cook gently for 2 minutes or until sauce has reduced slightly.
Pour the sauce gently over the cake.
Bake at 325°f (160°c) about 35 minutes or until cake is light brown and a toothpick inserted comes out clean.

foods：
½ cup butter
1 cup of sugar
2 eggs
1 teaspoon vanilla extract
2 cups of flour
1 teaspoon baking powder
1 1/4 cup milk
1 1/2 cup maple syrup
1 1/2 cups brown sugar
1 1/2 cup whole cream
1/3 cup butter