Put the flour with vanilla sugar, 1 sachet of orange peel, powdered sugar, salt and grated almonds in a mixing bowl. Mix well with a whisk. Add the butter in flakes, quickly knead everything with the dough hook of the hand mixer to a smooth dough. Cover and chill for about 30 minutes.
Preheat the oven to 180 degrees (convection 160 degrees).
Divide the croissant dough into 5 portions and shape into finger-thick rolls on a floured work surface. Cut the rolls into pieces approx. 5 cm long. Roll the ends a little thinner and shape the pieces into croissants. Distribute each with a little space on baking sheets lined with baking paper.
Bake for about 10 minutes per tray.
Mix the sugar well with the rest of the orange peel, spread on a baking sheet.
Let the croissants rest briefly after baking and carefully turn them in the sugar mixture while they are still hot.