Heat oil in a large heavy pot or fryer to 300 degrees F. In a small bowl, stir to combine sugar and cinnamon; set aside.
Remove biscuit dough from can and separate biscuits. Cut each into quarters. Working in batches, fry the dough, flipping occasionally, until puffed and golden on both sides. Drain on a towel-lined plate then toss in sugar and cinnamon mixture. Repeat process with remaining dough.
Fill a pastry bag fitted with a small tip with cookie butter. Use a small sharp knife to cut a small slit in the side of the sufganiyot. Carefully pipe the cookie butter into the center of each sufganiyot.