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Preheat the oven to 375ºF (190ºC).
Line a Baking Sheet with Parchment paper.
In a mixing bowl, whisk together the flour and baking powder. Set aside.
In another mixing bowl beat the 4 eggs and the sugar on medium speed until lemon colored and foamy, about 5 minutes. Add the olive oil and vanilla and mix until fully incorporated. Add the flour mixture and mix until fully absorbed. The dough will be rather soft.
On a floured counter, take walnut-sized piece of dough and roll it into 1/2-inch thick and 5 inches long strand. Your hands should be dusted with flour to prevent sticking. Do the same with 2 more strands. Pinch the top of all three ends together, then make them into a braid. Pinch the ends together. You may need to add a drop of water if the dough will not stick together. Repeat the procedure with the remaining dough.
Place the cookies 2 inches apart on your baking sheet. Whisk the remaining egg with a fork into a bowl. Brush each cookie with the egg wash and sprinkle with nonpareils.
Bake for 15-18 minutes or until the bottoms of the cookies are golden brown.