Stevenson scored his first ever goal in the Football League with a sweet first half header, but it was not enough to earn maximum points for Stags.
Dominant Bristol Rovers, who bossed most of the game with some neat passing and attacking football, levelled seven minutes from time after Keiran Murtagh sliced through his own net.
Speaking after the game a disappointed Stevenson said: “It was disappointing to be held to a point, we feel like we have been beaten.
“It was a slippy pitch today and wet conditions, but it is all about grinding out results at this time of the year.
“Bristol Rovers are a club in a false position, they will climb the table.
“I am obviously pleased to have got my first Football League goal, I really enjoyed it.
“I just got into the box and got on the end of the cross. It was a great cross from Calvin Andrew,I didn’t have to do a lot at all with the header.
“He reminds me of a mix between Matt Rhead and Matt Green, he is a great player for us.”
Bristol Rovers wasted a number of good chances throughout the game to seal all three points as a mixture of poor finishing, heroic last-ditch defending and solid defending cost them.
Stevenson also had praise for shot-stopper Alan Marriott, who picked up the sponsors man-of-the-match award.
“Alan Marriott is the best goalkeepers I have ever played with. He kept us in the game and got us a point today,” he said.
The draw leaves Stags, who face a long trek to Torquay next Saturday, seventh in the League Two table.