Add butter to a small skillet and melt over medium heat. When butter has fully melted, continue to cook until it turns light brown and has a nutty smell, about 2-3 minutes.
Pour butter into a shallow bowl and cool for 15 minutes in the refrigerator.
Combine both sugars with the orange zest.
Add to the bowl of a stand mixer, along with the eggs.
Using the whip attachment, beat eggs with sugar for about 4 minutes on high speed, until mixture has thickened and has roughly doubled in size. Beat in the milk and vanilla.
With a sifter or fine-meshed sieve, add flour, almond flour, baking powder, and salt to the mixer bowl. If all of the almond flour won’t go through the sifter, just pour the rest of it in as is.
Fold the flour mixture in gently, adding in the melted butter before the flour is completely mixed in. Pouring in some of the browned solids at the bottom of the butter is fine, but leave anything overly browned in the bowl.
Spray madeleine pan with cooking spray and put in the freezer for 30 minutes. Put the batter in the refrigerator to chill during this time. Preheat the oven to 375 degrees Fahrenheit.
Remove pan from the freezer and fill each mold with a rounded tablespoon of batter—the amount should look like it would fill ¾ of each mold if spread out. Put the remaining batter back in the refrigerator.
Bake for 9 minutes, and remove when madeleines spring back if you touch them gently.
Bang tray on the counter gently when you remove it from the oven to loosen madeleines, then wait a minute or two and carefully remove the madeleines onto a cooling rack.
Let cool, and sprinkle with powdered sugar to serve.
Wipe out the pan, and chill again for 15 minutes, before filling with the remaining batter and baking.
Notes
Storage Tips: Store madeleines in an airtight container at room temperature. They will last for about 2 days before they begin to get stale. That said, at that point they are still delicious dipped in coffee or tea!Expert Tips: If you don’t have a stand mixer, you can use a hand mixer instead. Just make sure to beat the mixture until it has doubled in size. It will take longer with a hand mixer.Let me let you in on a trick from pastry school. Sift the dry ingredients onto a piece of parchment paper, then just pick up the parchment paper as a sling and pour into the mixer bowl.If you have a pastry bag handy, scrape the batter into your bag, then pipe the batter into the madeleine molds.I *highly* recommend a nonstick madeleine pan. But if you do not have one, you will want to grease and flour your madeleine molds very thoroughly.