Chido Obi opened the scoring from the penalty spot in the 71st minute, after he was brought down by City defender Raphael-Pijus Otegbayo.
James Scanlon soon added a second for our young Reds as he notched his 10th goal of the season, smashing an effort into the roof of the net.
The scoring was then completed in the dying embers when Dante Plunkett converted from close range as United recorded another domestic victory.
FIRST HALF
Saturday's action began at a relatively slow pace with the Potters persistent on keeping United at bay in a low block.