The Reds put aside their 0-0 draw with Everton in the Merseyside derby on the weekend to beat Tottenham 3-2 in a dramatic contest which saw them hit the front on three separate occasions.
That invited Mousa Dembele to turn in Kane's 61st-minute cross to equalise for Spurs and setting up a big finish in the process.
The win kept Rodgers' men in seventh spot on the table while extending their unbeaten streak to nine league matches as Spurs came crashing back down to earth after their 2-1 come-from-behind north London derby triumph over Arsenal on Saturday.
The Gunners managed to bounce back from that disappointing defeat by edging bottom side Leicester City 2-1 at the Emirates Stadium.
First-half goals from Laurent Koscielny and Theo Walcott had Arsene Wenger's team leading comfortably before January signing Andrej Kramaric opened his account for the Foxes in the 61st minute to send a scare through the home camp.
Caretaker manager Chris Ramsey masterminded QPR's very first away win of the season, ending a run of 11 losses on the road, with a 2-0 result at Sunderland.
Leroy Fer and Bobby Zamora both struck in the first half to give the R's the ascendency which they held on to at the Stadium of Light to move out of the drop zone while inflicting a fourth defeat in six outings for the Black Cats.
Nikica Jelavic gave the Tigers a 22nd-minute lead before Dame N'Doye, who only joined the club on deadline day, marked his first Premier League start with a 74th-minute goal after providing the assist for the opener.
Manchester United will be looking to move back into the top four when they meet Burnley at home, Southampton will be eager to retain third spot in their clash with West Ham United on the south coast as West Bromwich Albion and Swansea City get set for battle at The Hawthorns.
2014/15 Barclays Premier League - season scores
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