In a bowl of a stand mixer, add the flour, dry yeast, and sugar. Mix with a spoon until combined. Add the salt, and mix until combined.
Add the and room temperature water, vegetable oil, vanilla extract, brandy or vodka, and the eggs, and start mixing on low until the dough forms.
Increase the speed to medium and mix for at least 8 minutes or until the dough is smooth and silky.
Cover the bowl with plastic wrap and let the dough rise at room temperature for 1-2 hours or until it’s doubled in size (or even tripled in size).
Punch down the dough down and transfer it to a clean floured surface. Sprinkle flour on the dough and roll it into a ¼ inch rectangle, making sure that the bottom of the donuts doesn’t stick to the surface.
Using a 2-inch cookie cutter, stamp out as many rounds as you can. Reuse the leftover dough and make more dough rounds.
Transfer the dough rounds to a parchment paper-lined baking sheet, cover with a clean towel and let the dough rise until its doubles in size or at least for 30 minutes.
Heat canola oil in a dutch oven, saucepan, or frying pan and allow it to get to about 180c (350f). Gently place a donut round in the hot oil (using your hand or a spatula) and fry in small batches for about 2 minutes on each side.
Remove the fried donuts to paper towels to drain any excess oil. Let the donuts cool for a few minutes or until they are cool enough to hold.
Using a sharp knife, make a hole on the side of the donut, and create a pocket inside the donut (as seen in the video). Pipe jam with a pastry bag and a round tip in each donut. Sprinkle each donut with a generous amount of powder sugar, and serve!