In addition to the baking powder can not be added, do not add baking powder, Madeleine unique "little belly" protrusion will not be formed, and baking powder will make Madeleine fluffy.
The dryness of the Madeleines may be due to your oven temperature being too high or the baking time being too long, so it is recommended that you make some adjustments.
I hope the advice of a professional school teacher can help you.