A Bobby De Cordova-Reid stunner was enough for the Cottagers to reach the fourth round.
The Jamaica international capitalised on a mistake and scored his second goal in as many games after last Sunday's winner during Fulham's 2-1 victory over Arsenal in the Premier League.
Richardson believes his side, who sit bottom of the Championship, will grow after the defeat.
The Millers had little to show for their efforts on the night but came close when Jordan Hugill's attempt was ruled out for offside.
Richardson said: "Congratulations to Fulham. We are disappointed when we lose a game, but great credit goes to the players.
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
END OF CUP ROAD FOR EFL BATTLERS
EFL interest in this season’s Carabao Cup came to an end in midweek, but it certainly wasn’t for the want of trying.
GOALS GALORE IN THE TROPHY
THE goals flew in from all angles as the Bristol Street Motors Trophy revved into action again in midweek.
KEEPER GAFFE SINKS TOWN
HUDDERSFIELD boss Michael Duff questioned his players’ mentality after goalkeeper Chris Maxwell’s bloomer handed NonLeague Tamworth a shock win.
ACE SLEW & WILLIAMS SEE OFF REBELS...
DECISIVE goals at either end of the game from Jordan Slew and Rhys Williams helped League Two Morecambe avoid a potential banana skin against National League South outfit Worthing.
MATT'S MEN JUST HAVE ENOUGH GAS
HONEST Bristol Rovers boss Matt Taylor has acknowledged his side were pushed all the way in their tie against Weston-super-Mare.
'WHITES' ARRAY OF FIREPOWER WILL GIVE THEM THE EDGE OVER RIVALS'
GARY Rowett says Leeds’ glittering arsenal of attacking stars will bring the Championship title to Elland Road.
POMPEY'S GAME OF TWO HALVES
Murphy's in to deny the Tigers
SET-PLAY PREP PAYING OFF FOR PELACH
NARCIS Pelach admitted Stoke have been working tirelessly on set-pieces since his arrival – and he was pleased the hard work paid dividends with the winner against Derby.
Robins lays marker to his Sky Blues
MARK Robins has challenged his Coventry City players to go on a Championship charge after the Sky Blues ended their wait for success on their travels with resounding victory against ten-man Boro.
JUST FAB FOUR BAYO IS UNSTOPPABLE
FOUR second-half goals in an incredible display from Vakoun Bayo powered Watford to a resounding victory at Hillsborough.
