Papa John's Trophy: Bradford City through thanks to Sheffield Wednesday and Barnsley FC progress, but Owls, Harrogate Town and Doncaster Rovers out
Alongside the Bantams, Barnsley are Yorkshire's sole other representative who have currently progressed from their group.
City crashed 4-0 in their final Group H game at Burton, but qualified courtesy of the Owls 2-0 victory over Leicester City under-21s at Hillsborough.
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Hide AdCallum Paterson fired home an early free-kick and debutant Will Trueman added a second as Wednesday finished third in their group.
Leeds lost 3-0 at Bolton in Group B. They will still progress if they win at Crewe Alexandra in their final group game on November 1.
In Group E, Lincoln City's win over Newcastle United U21s had contrasting ramifications for Barnsley and Doncaster.
The Red Imps' 2-0 success ensured that Barnsley finished second and qualified for the knock-out stage.
Doncaster bowed out as a result of Lincoln's win.
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Hide AdOn Bradford's qualification to the next phase, boss Mark Hughes said: “It was important that we got through this stage. We’ve been able to do that, albeit with the help of other teams.
"We just made a mistake in the game against Leicester and didn’t see the job through then.
“Now we’re into the next stage and we’ll be as strong as we can.”
Offering his thoughts on a special night for Owls player Trueman, manager Darren Moore added: “He is all energy with his game. He wants the ball. He never shies away from it.
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Hide Ad"He has got a forward pass in him. He wants to drive and run forward with it. He wants to get in the box and score goals.
“I am really pleased for him and he's absolutely overjoyed with his goal. He will wake up in the morning and I'm sure he will feel really happy with his performance.
"We put the young boy Rio Shipston on (for Trueman) and he looked another lovely, smooth player. He looked an intelligent player. He knows the game and I thought he used the ball really well in the final 20 minutes.”