Rovers dominated possession in the first half but it was Stanley who had the clearer chances. Visiting keeper Dean Williams did well to deny both Lee McEvilly and Mike Flynn, whose goal bound header in injury-time was pushed out by Williams.
There must have been some stern words at half-time by Stanley manager John Coleman as the Reds then came out pressing.
And they should have taken the lead after 54 minutes when Conference player of the month McEvilly burst through unmarked but his low shot hit the inside of the post and bounced out to safety.
Two minutes later they did go ahead following a foul on Andy Proctor on the edge of the area. Peter Cavanagh took a quick free-kick from 20 yards and it squeezed into the bottom corner of the net.
But Rovers then enjoyed their best spell and got the equaliser.
Matthew Gadsby's shot was pushed out by Paul Crichton but it fell nicely for Rovers' top scorer Charlie Griffin who made no mistake from six yards out.
The visitors continued to dominate and Mark Beesley had a header cleared off the line by Chris Butler before they finally got their second.
Gadsby's ball found Beesley who charged through and chipped the ball over a shocked goalkeeper.
It looked like it wasn't to be Stanley's day but they grabbed an equaliser in the 86th minute when it was pinball in the Forest Green area and Paul Mullin got the final touch to make it nine games unbeaten for the Reds.