The turning point of the match was the first-half sending off of Stevenage striker Alex Revell not long after Luke Wilkinson had given the visitors the lead.
That goal came in the 26th minute, with Wilkinson crashing a 25-yard free-kick into the bottom right-hand corner.
Four minutes later Revell saw red for his challenge on Isaiah Osbourne and Forest Green levelled a minute into first half injury time when Doidge helped on a throw for strike partner Reid, who steered his shot between the legs of keeper Tom King.
Rowson handed Rovers the lead for the first time in the 61st minute with a thumping header from a left wing cross from Dan Wishart, moments after Dayle Grubb had had an effort cleared off the line.
Doidge added his name to the scoresheet nine minutes from the end, turning the ball home after a good run and cross from the right by Osbourne.
Uwe Rosler was sacked by Fleetwood following a 3-0 reverse at Doncaster which condemned Town to a seventh straight defeat in all competitions.
Cambridge interim head coach Joe Dunne was pleased with how his side adapted to beat Grimsby 3-1.