Boss Sean Dyche made eight changes to the side that picked up a point at home to Brighton in the Premier League, with Anthony Glennon a late entry into the starting line-up following a clerical oversight that impacted on Erik Pieters' involvement.
Sam Surridge put the Cherries ahead midway through the first half when tapping home Jack Stacey's centre from close range.
Former Burnley winger Junior Stanislas then wrapped things up from the spot in the 88th minute with an emphatic finish past Bailey Peacock-Farrell after Kevin Long had committed a foul.
Here are the RATINGS.
Former Burnley winger Junior Stanislas then wrapped things up from the spot in the 88th minute with an emphatic finish past Bailey Peacock-Farrell after Kevin Long had committed a foul.