1. Preheat the oven to 210°C (410°F).
2. Start beating the eggs with the sugar until the mixture becomes pale.
3. Then add the flour, baking powder, and milk and mix everything together.
4. Place in a mold of your choice.
5. Don't forget to grease the mold well.
6. Bake for 25 minutes.
7. While baking, prepare the syrup.
8. Boil the water and 120g of sugar for a few minutes.
9. Then add the rum off the heat.
10. After removing the cake from the oven, unmold it and place it back in its mold, then immediately pour the syrup over it.
11. Let it soak, then place the baba on the serving plate.
12. Serve with your choice of fruit, whipped cream, etc.
13. Enjoy warm or cold after a resting time in the fridge.