Gather the ingredients. Preheat your oven to 390°F (200°C) with a rack in the middle.
The Cake
In a medium bowl, whisk together the 250 g all-purpose flour, 2 tsp. baking powder, and ¼ tsp. salt. Set aside.
In a separate large bowl, use a whisk to cream the 125 g unsalted butter and 200 g sugar together until light and fluffy. Add the 2 eggs and beat well until completely incorporated.
Gradually add the dry ingredients to the wet ingredients, alternating with the 120 ml whole milk. Begin and end with the dry ingredients, mixing with a spatula until just combined. Do not overmix.
The Syrup
In a saucepan over medium heat, combine the 250 ml maple syrup350 ml heavy cream, 50 g unsalted butter and 50 g brown sugar. Bring to a simmer and let it slow-boil for 5 minutes, stirring occasionally. Set aside.
The Baking
Grease a 13 x 9-inch (32 x 23 cm) baking dish. Pour the cake batter into the prepared dish and spread it evenly.
Gently pour the warm syrup mixture over the batter, covering it completely. The mixture will look messy, but the cake will rise to the top as it bakes.
Bake in the preheated oven for 30-35 minutes, or until the cake is golden brown and a toothpick inserted into the center comes out clean.Let the pudding cool in the dish on a wire rack for about 15 minutes before serving. The syrup will thicken as it cools.
The Serving
Serve the Quebecois Maple Pudding [Pouding Chômeur] warm, using a large spoon to scoop the cake along with the creamy syrup from the bottom of the dish.