The 20-year old Arsenal midfielder, who will remain with Crewe for the 2013/14 season, scored twice as the Alex moved further away from the relegation zone.
Aneke opened the scoring for the Railwaymen when he cut inside and curled home a lovely effort in the 37th minute before doubling the advantage when volleying past Blades keeper George Long on the stroke of half-time.
Aneke, who has had various loan spells with Crewe since 2012, has now scored seven league goals this season.
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