Gabriel Agbonlahor drove in a deflected shot off Ryan Nelsen to seal the win.
On the pitch for just three minutes, Drogba climbed above Ryan Nelsen to head home Malouda's cross.
Blackburn snatched the win when Ooijer turned home from on the line after Ryan Nelsen's header came back off the post.
Ryan Nelsen's long ball found Diouf, who played in the overlapping Olsson and the Swede drove his finish through the legs of Reina.
Goals from David Dunn, Brett Emerton and Ryan Nelsen earned Rovers a victory which moved them up to eighth spot in the Premier League.
New Zealand skipper Ryan Nelsen, who plays for Blackburn, paid tribute to the 35, 100 fans in Wellington - a record for a football match in the country.
However, defender Ryan Nelsen promised his team would "make every New Zealander proud" and they were true to the Blackburn defender's word at a far-from-full Bafokeng Stadium.
Joel Byrom opened the scoring for the third-flight visitors from the penalty spot on just four minutes after he had been tripped by New Zealand's Ryan Nelsen in the box.
But with Ryan Nelsen and Samba getting the better of the Dutchman, who has failed to score a league goal in open play this season, Liverpool struggled once the ball reached the Blackburn area.
Paul Robinson has never bleated about unfairly being made public enemy number one for his England errors, Ryan Nelsen has always been a dependable, fine defender and injuries have robbed David Dunn of more success.
"It's not a jinx, it's not a hoax or anything like that, we need personalities to go and clear the ball, and win the ball ... strong personalities who want it in the back, " Toronto FC coach Ryan Nelsen said.
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