In a small bowl, whisk water and eggs together and set aside.
In the bowl of a food processor equipped with a steel blade, add flour, cheese, and oil. Pulsate for 5 seconds. Scrape sides of the bowl and pulsate for another 5 seconds. The mixture should have the texture of coarse meal.
With the machine running, slowly pour in the egg mixture until the dough forms a ball.
Divide dough into 2 balls so it’s easy to handle. Knead each dough ball on a floured surface a couple of minutes. Roll dough to ¼” thickness on a floured surface using a rolling pin. Cut with pizza wheel or dog biscuit cookie cutter.
Place biscuits on foil-lined cookie sheets. Repeat process with 2nd dough ball.
Bake biscuits for 12 minutes. Remove from oven and turn biscuits over. Continue baking another 6 minutes until golden.
Bake biscuits for 12 minutes. Remove from oven and turn biscuits over. Continue baking another 6 minutes until golden.