Preheat the oven to 180°C and grease a mini donut pan with butter or oil.

In a large bowl, beat the eggs with the sugar until the mixture is light and fluffy.

Add the oil and milk to the egg and sugar mixture, beating well until fully incorporated.

Add the vanilla extract and mix well.

Sift the flour and yeast together, then add them to the liquid mixture. Gently stir with a spatula until you have a smooth batter.

Place the batter into the mini donut molds, filling each one to about 2/3 of its capacity.

Bake in a preheated oven for approximately 10-12 minutes, or until the donuts are golden brown and firm to the touch.

Remove from the oven and let cool for a few minutes before unmolding. Place the donuts on a wire rack to cool completely.