Jamie McAllister's throw-in was intercepted by Martin Hardie and his pass was flicked on by Gerry Britton into the path of Burns, who stole in behind the Dons defence for his 13th league goal of the season, prodding the ball beyond David Preece.
This time it was McAllister who stepped up after Lee Mansell fouled Jamie Cook but Bevan dived to his right and somehow tipped his effort over the bar.