The victory ended a run of five defeats on the spin in all competitions.
FormerÂ Hallam and Worksop Town boss HindleyÂ strengthenedÂ his squad withÂ two more acquisitions ahead of the game.
Goalkeeper Callum Fielding arrivedÂ from Maltby Main andÂ much-travelled striker Jordan TurnerÂ joined from Premier Division outfit Handsworth Parramore.
It took Rossington just three minutes to take the lead through a Declan Howe strike.
The hosts did not help themselves when on 21 minutes an own goal made it 2-0.
Howe grabbedÂ his second and Rossington's third on 62 minutes to all but wrap up the points.
Turner, who was also named captain,Â marked his debutÂ by adding the fourth on 79 minutes beforeÂ Dan Smith netted a consolation four minutes from time to deny Fielding a clean sheet on his debut.
Harworth CollieryÂ are still looking for a first away league win of the season after crashing to aÂ 5-1 defeat at Hallam.
Harworth were behind after just three minutes whenÂ Micah Bishop clipped the ball over goalkeeper James Gamble from a tight angle after being played in down the right.
Colliery were back on level terms on 15 minutes whenÂ Brandon Ashmore was bundled over in the area and Matt Robinson sentÂ the goalkeeperr the wrong way from the spot.
Tyler Bradley restored the home side's lead five minutes later with a powerfulÂ header and Bishop volleyed in his second before being sent offÂ for a mis-timed challenge onÂ Adam Colton.
Harworth though could not make their numerical advantage countÂ and Kieran Watson scored twice in the closing stages to condemn them to a fourth defeat in five games.