Combine all the ingredients in the bowl of an electric mixer and beat with a dough hook until everything is combined and then continue to knead for 5 minutes.
Place the dough in an oiled bowl, cover it and leave it in a warm place for at least an hour.
Use a pasta machine to roll the dough out until it is about half a centimeter thick and then cut it using the fettuccine cutter.
Lay the pieces out on a lined baking tray leaving a little gap between each one and making sure each piece is straight.
Brush each one with the egg wash and sprinkle generously with sea salt.
Leave the sticks to rest for 10 minutes in a warm place and pre-heat the oven to 220C (428F) fan-forced.
Bake the breadsticks for 5-10 minutes or until they are crispy and golden brown.
Leave them to cool on a wire rack and then transfer to an airtight container.