Shaw, 34, will combine the role alongside his current position as professional development phase lead coach at Lincoln City and head of football at Nottingham Trent University.
Chairman Richard Kane said: "We are delighted to have attracted someone of Tom’s calibre to the club and are equally grateful to our friends at Lincoln City for their support. I have met with Liam Scully (CEO) and Jez George (director of football) on a several occasions over the last few months to discuss our ambitions and challenges. Our identification and recruitment of Tom is ultimately an outcome of these open conversations."
Kane continued, "We are unanimous in our belief that we must operate differently in order to compete at this level and have any aspiration of progressing higher in the future, especially with the current challenging financial landscape of non-league football. Having met Tom, and hearing his vision for the team, the Board and I are excited about this opportunity for Gainsborough Trinity, including the opportunity to develop the relationship further with our close neighbours at Lincoln City."
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