Goals from James Maxwell - his first for the club - and Kyle Hurst capped off a dominant display and ensured Danny Schofield's side began 2023 with a bang.
Rovers took just four minutes to open the scoring and enjoyed almost total control in the first half.
Hurst went close to doubling their lead prior to scoring his fifth goal of the season and first since September before Kristian Dennis pulled one back for Carlisle.
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Hurst went close to doubling their lead prior to scoring his fifth goal of the season and first since September before Kristian Dennis pulled one back for Carlisle.