Rovers' Under-18s made it back-to-back victories with an away win at Everton on Saturday.
Brian Carey's side followed up their 3-1 win over Wolves with a hardworking display against the Toffees.
A second half strike from top scorer Sam Joel proved to be the difference at Finch Farm as Rovers secured all three points.
The home side started the stronger on Merseyside as Rovers struggled to get into the game for the first 15-20 minutes.
Rovers' Andrew Fisher was certainly the busier of the two goalkeepers, making a couple of key saves.
As the half wore on Rovers came into the match, Luke Wall and Modou Cham causing the opposition problems with their wing play, without any meaningful clear-cut openings.
The Toffees were again brighter as the second half got underway, but it was Rovers who grabbed the all-important goal just past the hour mark.
Quick thinking by Fisher saw him release the ball upfield, Joel fed Wall who centred, and although Hyuga Taner planted his back post header against the bar, top scorer Joel was on hand to fire home his 10th goal of the campaign.
Rovers had to withstand some late pressure from Everton, with Fisher again impressing in goal. An outstanding save from the young keeper in the final moments ensured all three points would be heading back to Lancashire.
"I think it was a deserved win," said coach Brian Carey. "It was a good game.
"It was an even game but I felt that we just shaded it.
"Having some of the lads with u21 experience has made a difference, it was a good result in the end."
ROVERS: Fisher, Pirretas, Edgar (sub Edo 46 mins), Hardcastle, Platt, Scott, Cham (sub Howarth 87 mins), Tomlinson, Joel (sub Nuttall 80 mins), Tanner, Wall.
Subs not used: Williams, Callaway.