Rovers took control as they dominated the first half, scoring tries by Jon Goddard, Leroy Rivett and Jon Steel in an inspired 11th-minute spell on the way to a 17-0 interval lead.
Though Chris Hill replied with a try for Leigh immediately after the resumption, Jules O'Neill converting, Scott Murrell ended any hopes of a comeback with a smart 56th minute try.
Ben Fisher and Phil Joseph posted further tries for the home side as Leigh wilted under the barrage.
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