Whisk together the flour and kosher salt into a large mixing bowl. Mix together the rest of the ingredeints into a seperate bowl. Then, stir those ingredients into the flour. Stir until a ball of dough is formed. Empty it onto a floured board and knead for 8 minutes. Wrap it in plastic wrap and let it sit for an hour.
Pull off a golf ball sized piece and roll it into a half inch wide flat rope. Dust it with flour. Feed it into the cavatelli maker. Put the cavaelli on a floured tray. Repeat with the rest of the dough.
Bring a large pot of gently salted water to a boil. Boil the cavatelli, in four batches, until they float to the top. Drain well.