It will be a clash that Bolton boss Sam Allardyce will not be relishing with Rovers having beaten Premiership opposition in Manchester City and Aston Villa at home in the Carling Cup last season.
Bolton spies will have learned little from the game as Rovers won with plenty to spare.
They controlled the game cleverly from start to finish and home keeper Ben Smith never had a serious shot to save.
Rovers missed several chances to improve on their tally and Jason Price set the pattern when he blasted wide with only the keeper to beat after latching on to a left-wing cross from James Coppinger in the ninth minute.
Rovers had appeals for a penalty turned down four minutes earlier when Jake Buxton appeared to push Mark McCammon in the back as both challenged for a cross from Brian Stock.
There was another bad miss for Doncaster in the 12th minute when Adam Lockwood blazed the ball over the bar after a super cross from Coppinger had only been half cleared.
Trickery from Jonathan Forte on the left led to yet another chance six minutes later but Stock's effort flashed well wide of the mark.
There was little respite for Mansfield, although the hard working Matt Hamshaw had a goal-bound snap-shot deflected in the 22nd minute before Rovers snatched the lead a minute later.
A well worked move involving Paul Green and Stock led to McCammon racing through the middle and controlling the ball with two touches before slamming home an unstoppable shot.
McCammon headed wide five minutes later as the one-way traffic continued before substitute Paul Heffernan had a shot saved by the legs of Stags keeper Carl Muggleton.
Heffernan made it 2-0 four minutes after the interval when he controlled the ball well to make space for a shot which rocketed into the back of the net after McCammon had flicked on a long throw from Theo Streete.
All that Mansfield could offer in return were a couple of tame shots from Hamshaw and Alex Baptiste as the Stags were left to regret not stitching up the tie in the first match at Field Mill where they led until conceding a last-gasp equaliser.