Preheat the oven at 445 F.
In a saucepan, melt the butter. Then add the honey. Mix well. Set aside.
In a medium bowl, beat the eggs and sugar. Whisk until well-combined and the mixture creates a foam.
Pour the mix of melted butter-honey in it and add the lemon zest (or lemon extract)
Add the sifted flour, baking powder, and salt to the mix and whisk until well incorporated.
Grease and flour the Madeleine molds if in metal. No need to grease the mold if silicone. Spoon or pipe the batter in the mold, leaving the madeleines 5 mm (a little less than ¼ inch) from the edge.
Put the filled mold in the fridge for at least 10 min before baking.
Bake for 1min 30s at 445F, then turn off the oven and leave them until the bump is formed (about 6-7 min). Keep an eye on the last minute; they can burn very quickly around the edge!
After removing from the oven, unmold the madeleines as soon as possible to prevent them from sticking to the mold.
Let them cool on a wire rack. Store them in an airtight container for a couple of days.