A late Callum Wilson goal a moment before full time put AFC Bournemouth into the fourth round of the Carabao Cup and sent Rovers out in an enthralling five-goal thriller.
Rovers showed terrific spirit to recover from going two goals down, with Craig Conway scoring on his 500th club career appearance before Adam Armstrong converted a penalty.
But in the dying embers of the game Rovers had a minute of madness as Derrick Williams was shown a straight red card prior to Wilson's winner in the final minute.
Conway captained the side throughout his milestone match, with the Scot joined in midfield by Joe Rothwell.
Jack Rodwell made his first team debut for Rovers and was at the heart of a three-man defence against the Cherries.
Kasey Palmer also made a return to the starting XI, whilst Ben Brereton, like Rodwell, started in Rovers colours for the first time.
Rovers raced out of the traps and Brereton had the ball in the net after only 25 seconds, but he was adjudged offside after Armstrong picked him out with a cross from the left.
At the other end, Simon Francis' cross was headed over the bar by Lys Mousset before Jordon Ibe's strike from the dge of the box flew past David Raya's left-hand post.
Brereton was involved again a moment later, but after Artur Boruc could only palm Armstrong's cross into his path, the striker skewed wide from close range.
It was an energetic start to the game from both sides and Raya had to be alert to tip over when Francis' cross deflected up off Amari'i Bell before saving Tyrone Mings' header from the resulting corner kick.
But 14 minutes into the clash it was the hosts that took the lead as another Francis cross was crashed home on the half-volley by Junior Stanislas.
Just after the half hour mark and Raya produced another excellent save when he scooped away a Jermain Defoe header after another good run and cross from Francis.
The battle between Defoe and Raya continued and once again it was the Rovers man who came out on top as he managed to get a big paw on ex-England man Defoe's strike from inside the box.
The Cherries had the better of the chances, but the teams went in at half time with the hosts holding the slender advantage.
The second half began almost as frantic as the first, with Armstrong dragging a shot just wide of Boruc's left-hand post from an acute angle.
But just as Rovers were getting a foothold in the game the hosts were awarded a penalty as Darragh Lenihan was adjudged to have taken down Jordon Ibe in the box.
The former Liverpool man dusted himself down and sent Raya the wrong way as he stroked the ball into the bottom corner to add to the Cherries' tally.
But Rovers responded well and five minutes later they pulled a goal back as Conway lashed home from range after robbing Jefferson Lerma to score on his milestone match.
Rovers were growing into the game and with just under 20 minutes to go it was the visitors who were awarded a controversial penalty.
Brereton went down under a strong challenge from Tyrone Mings and Simon Hooper pointed to the spot, with Armstrong stepping up and finding the net via the post to level things up.
The game was open and flowing, and Ibe tested Raya with a low strike from the edge of the box which the Spaniard held onto to keep things equal.
With just two minutes of added time remaining, the excellent Derrick Williams was shown a straight red card for a deliberate handball after slipping before Bournemouth nicked the win at the death.
After hitting the bar, Raya denied substitute Wilson by flicking the ball over the bar before the resulting corner was glanced home by that same man to send Rovers out of the Carabao Cup in heartbreaking circumstances.
AFC Bournemouth: Boruc, Francis (c), Lerma, Mousset (King, 69), Ibe, Smith, L. Cook, Defoe (Wilson, 74), Stanislas (Pugh, 69), Simpson, Mings.
Unused substitutes: Travers, Ake, King, Dobre, Ofoborh.
Goal: Stanislas, 14, Ibe pen, 58, Wilson, 90+3
Rovers: Raya, Nyambe, Rodwell (Reed, 59), Lenihan, Williams, Bell, Rothwell, Conway (c), Palmer (Butterworth, 64), Armstrong, Brereton (Travis, 82).
Unused substitutes: Leutwiler, Nuttall, Downing, Tomlinson.
Goal: Conway, 63, Armstrong pen, 71
Booked: Lenihan, 77
Sent off: Williams, 90
Referee: Simon Hooper.