Leeds saw James Donaldson and Sam Lisone both sin-binned for high tackles.
And Rovers, who saw Peta Hiku yellow-carded early on, punished them both times to make it two wins from two.
With fellow hooker Matt Parcell banned, livewire Litten played all 80 minutes.
He set up Sauaso Sue's first-half try and, after Hiku's nightmare with the boot in last week's derby win, he also slotted all five goals as KR's third-choice kicker.
There was a minute's applause before kick-off for Rob Crossland, the popular former KR vice-chairman, who died aged 57 after a battle with cancer.
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