Jason Gilchrist, who hasn't played in recent league games, opened the scoring with his first competitive goal since the hat trick at Old Trafford in December and Khius Metz doubled the advantage with his second goal in two games.
There were two more goals; the first from central defender Alex Whitmore with the scoring wrapped up by substitute Andreas Bianga.
The Burnley team was: Callum Jakovlevs, Cameron Dummigan, Charlie Holt, Alex Whitmore, Luke Conlan (Andrew Nugent 45), Nathan Lowe, Luke Daly, Lewis Nuttall, Jamie Frost, Khius Metz, Jason Gilchrist (Ntumba Massanka 60). Subs not used: Conor Mitchell, Crawford.