Melt the unsalted butter with Earl Grey tea bags over medium-low heat.
In a bowl, whisk together eggs, sugar, and honey.
Add the melted butter mixture and milk, and mix well.
Sift in cake flour and baking powder, then combine gently.
Cover the batter with plastic wrap and let it rest in the refrigerator for 30 minutes.
Brush butter onto the madeleine molds and fill them 80% full with the batter.
Bake in a preheated oven at 180°C (356°F) for about 10 minutes.