1. Rip the pieces of the babka into small, bite-size pieces and place in a bowl.
2. In a separate bowl, whisk all the ingredients together and then pour over the cake pieces. Let sit for 1–2 hours, covered. Mix once or twice to distribute the cake.
3. Preheat oven to 350°F (180°C).
4. Spoon the mixture into 12 ramekins, place on a baking sheet, and bake for 30 minutes. Serve warm or at room temperature.