The Tykes took the lead through Aiden Marsh before a goal either side of half time from Daniel Johnson set them on their way.
Emil Riis added a third from a tight angle but it could have been more for the Lilywhites on the day.
13. Bambo Diaby - 6
A rash start on his return to Oakwell but he settled into the game in the end, just needs to keep his composure at times but looks assured by the end. Photo: CameraSport - Mick Walker
14. Mikey O'Neill - 7
Dealt with a longer outing very well, looked bright on the ball and could have had a goal and an assist on another day. Photo: CameraSport - Andrew Kearns
15. Sean Maguire - 6
Did not have long to get into the game as the final substitute but could have still come away with a goal, should have scored when Mikey O'Neill squared it to him six yards out but the 'keeper saved it. Photo: CameraSport - Ian Cook