The home side took the lead through a first-half Chris Maguire penalty but two second-half goals from Charlie Taylor and Steve Morison helped secure the three points for the visitors.
“This result has been coming in the last two or three games,” said Redfearn. “I’m pleased for the lads because they’ve shown a real spirit.
“It was a very good performance. I thought we were the better side despite going 1-0 down.
“Credit to the lads because I thought their application and understanding of how to play in this match and on this pitch was spot on.
“It looked like the ref got the two penalty shouts wrong but in fact they were both right. I apologised to the ref at half time. I watched the video and he got both spot on.”
The match started off in typically fiery fashion, with both Yorkshire teams aiming to end their mediocre seasons on a high.
Wednesday went 1-0 up in the 36th minute through Maguire after Lloyd Isgrove was judged to have been fouled by Sam Byram on the edge of the box.
The visitors found an equaliser 12 minutes after the break via Taylor, who capitalised on a lacklustre Wednesday wall to poke home a loose ball from six-yards out after a Luke Murphy free kick.
Leeds then took the lead through Morison with 18 minutes to play. After a well-timed run and failed first effort, the striker fired home the rebound from close range past Keiren Westwood.
“We gave far too many free kicks away and if you keep doing that, you will be punished,” said Owls boss Stuart Gray.
“That’s what’s happened and we only have ourselves to blame.
“They got a fortunate ricochet for the equaliser but they reacted the faster.
“It’s disappointing because we had our noses in front but couldn’t build on the Chris Maguire penalty.
“I’m disappointed for the supporters as well because we had around 24,000 in there today.
“I put two forwards on and we were chasing the game but it wasn’t our day.”