Unwin joined the club in September 2019, after leaving Bury.
The wide-midfielder also played for Blackburn Rovers and Manchester United as youngster before joining the Shakers.
Unwin joined Bury midway through the 2018/19 season, before leaving the club in August 2019.
The attacker then got his first goal for the Clarets against Everton in October 2020.
And Unwin went on to finish the season as the U18s' top scorer, with nine goals, before signing a professional contract with the Clarets ahead of the 2021/22 season.
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