A shaky period early on at Craven Park helped Barrow stay in touch before the Eagles took control with two tries ahead of half-time. The Cumbrians’ relegation will be confirmed if they lose next weekend.
Eagles early pressure saw Kyle Briggs forced his way over under the posts for his first try since signing from Featherstone.
Raiders hit back with a passing move following a scrum with winger Dalton Grant grounding.
Former Barrow forward Michael Knowles sent in Quentin Laulu-Togagae to edge Sheffield ahead, but an error from the restart allowed Grant to get his second try and bring the margin back to two points.
Eagles cut down on the mistakes and responded with two tries in five minutes. Stand-off Patch Walker went in under the posts and centre Duane Straugheir was over shortly after. Dominic Brambani converted all the first-half tries for a 24-10 lead at the break.
Sheffield took time to get going after the restart before Laulu-Togagae went in near the posts for his second try.
The Eagles were in control and when Barrow had Shaw sent to the sin-bin they took advantage. From the penalty they built a move that ended with substitute Lelauloto Tagaloa going over out wide.
Winger Misi Taulapapa’s late try added to Barrow’s misery, Brambani kicking his sixth goal.
Barrow Raiders: Shaw; Goulding, Briscoe, Wiper, Grant; Karalius, Campbell; Davies, Mossop, Dawson, Harrison, Jones, Dwyer. Substitutes: Bullock, Palmer, Butler, Burke.
Sheffield Eagles: Laulu-Togagae; Turner, Yere, Straugheir, Taulapapa; Walker, Brambani; Battye, Henderson, Stringer, Green, Knowles, Briggs. Substitutes: Davey, Lillycrop, Hope.
Referee: M Thomason.