In a large bowl, combine the water, yeast, and sugar. Let sit until foamy, about 5 minutes.

Whisk in the eggs and 2 tablespoons of oil into yeast mixture.

Add the flour, salt and stir together until well combined. The dough will be a bit sticky, that's ok.

Prepare for frying the beignets by setting a wire rack into a rimmed baking sheet. Line a second baking sheet with a double layer of paper towels.

Pour the 2 quarts of oil into a heavy bottomed Dutch oven or large skillet, it should fill the bottom of the pot 2-3 inches. Heat over medium to medium-high heat.

Transfer dough onto a floured counter and cut in half. With one half of the dough, pat into a rectangular shape with floured hands, flipping to coat with flour. Roll dough out into ¼-inch-thick rectangle (about 12 by 9 inch).

Using a pizza cutter, cut dough into twelve 3-inch squares.

Repeat this process with the second piece of dough.

When the oil is 350℉ (using a thermometer is the easiest way to gauge this), add a few beignets at a time (don't over crowd the pan). Fry until golden brown, about 3 minutes total, flipping halfway through frying.

Transfer beignets to the pan with the paper towels. Repeat with remaining dough.

When they are cool enough to touch but still hot place them on the rack set inside the pan. Dust heavily with confectioners’ sugar and serve warm.