Samuel Edozie netted for the second time in a week as Saints extended their unbeaten run to 14 matches.
Winger Edozie poked in a corner before Stuart Armstrong's third goal of the season, Sekou Mara's tap-in and Carlos Alcaraz's finish punished Rovers, who had Callum Brittain sent off after two yellow cards.
Alcaraz also missed a penalty for the hosts, but they secured a fifth straight home win for the first time since 2014 and continued their best streak for 39 years.
Martin said: "We're not even halfway through the season and there is so much more room to grow.
"Hopefully we can have more days like today, but even when we have only been winning by one goal in our eyes it has been convincing.
"You can't always win convincingly, not even the teams. at the top are leaving teams in their wake.
This story is from the {{IssueName}} edition of {{MagazineName}}.
Start your 7-day Magzter GOLD free trial to access thousands of curated premium stories, and 9,000+ magazines and newspapers.
Already a subscriber ? Sign In
This story is from the {{IssueName}} edition of {{MagazineName}}.
Start your 7-day Magzter GOLD free trial to access thousands of curated premium stories, and 9,000+ magazines and newspapers.
Already a subscriber? Sign In
I'd still want to keep Pat on side
Patrick Bamford has always been a player who divides opinion amongst Leeds supporters.
WHITES & THE BLADES SPEED ON
LEEDS and Sheffield United maintained their pace at the top of the table with comfortable home victories - but Sunderland slipped off the summit.
BAILEY: WE'LL GIVE POPPIES THE RESPECT THEY DESERVE
OWEN Bailey knows exactly how pumped up seventh-tier Kettering Town will be when Doncaster Rovers roll into ramshackle Latimer Park today.
TOWN EARN THEIR CORN!
HARROGATE mon Weaver breathed a sigh of relief after his side edged past Gainsborough Trinity at a rain-sodden Exercise Stadium.
OH MY JOSH - O'S KEEPER IS THE HERO!
RICHIE Wellens praised keeper Josh Keeley as Leyton Orient reached the third round following a dramatic win over National League Oldham.
'IT HASN'T BEEN MY WHOLE FOCUS AND THAT HELPED ME
SHAUN Barker never attempted to conceal the fact that he had no burning desire to play football.
MATT'S BOYS SHOW CLASS
WYCOMBE side-stepped a tricky second round fixture by defeating Wealdstone at Grosvenor Vale.
LUKE SEETHES OVER SLOPPY SWANS START
LUKE Williams admitted he gave his players the hairdryer treatment at half-time after seeing them come into the break trailing against bottom of the table Portsmouth.
UPSET FOR HARRIS AS TYLER HITS STUNNER
Neil Harris insisted the fact that Millwall were bitterly disappointed to claim only a point shows the progress his side have made over the past 10 months.
ANTE AT THE DOUBLE FOR ON-SONG CITY
NORWICH head coach Johannes Hoff Thorup paid tribute to the home fans after watching his side come through a tough test against Luton to win comfortably in the end.
