Story of the match
Less than four minutes into the match, Fulham had their first chance as Mitrović had an audacious attempt from the halfway line with Blackburn goalkeeper Thomas Kaminski well off his line, but the shot missed its mark.
Two minutes later, the Cottagers were in front as Bobby Decordova-Reid, on his 100th appearance for the club, made his way into the area and played a cutback for Kebano, who finished past Kaminski.
The visitors doubled their lead as a corner from Jean Michael Seri delivered a corner that found Mitrović and he made no mistake, scoring his 19th of the season in just 16 games.
Blackburn then offered their first sustained attack of the night, Tyrhys Dolan drawing a save from Marek Rodak, Bradley Johnson saw his effort deflected over and Ben Brereton shot wide of the near post.
The hosts were then reduced to ten men as Seri's pass found Wilson and van Hecke gave him a boot to the head, giving referee no chance but to send him off.
Wilson wasn't injured and he set up Harrison Reed, who saw his strike deflected as it made its way towards goal, Kaminski reacting well to tip it over. Moments later, he saved from a Mitrović shot.
In the second half, Wilson nearly caught Kaminski out from 50 yards, his strike dropping the wrong side of the far post. Mitrović then found Decordova-Reid, whose shot was stopped by the Blackburn 'keeper.
Continuing to pressure the hosts, Wilson next set up Antonee Robinson, who went wide before picking up the Cottagers' third himself, beating Kaminski through his legs.
Mitrović was the provider again as Wilson cut back inside his man and blasted an unstoppable shot into the net to make it 4-0 for the visitors.
With the points secured, Fulham manager Marco Silva took off some key players and with 13 minutes to play, two of the substitutes combined for the Londoners' fifth as Muniz headed in Tom Cairney's lofted pass.
Kebano slotted home a rebound to make it 6-0 and after Fabio Carvalho found the side netting, Muniz grabbed his second, heading in Robinson's cross to cap a perfect evening for Fulham.
Man of the match: Harry Wilson
He was fantastic all night long, setting up his teammates throughout and bagging a pair of well-deserved goals. His playmaking skills were on full display as he made terrific runs and finished with class.