Ricky Holmes grabbed all three goals as the Bees ended a run of six games without a win, however there was controversy regarding the home side's second goal, scored by Holmes from the spot, with Albion boss Gary Rowett left fuming after the ball seemingly struck the hand of Jack Dyer in the area.
And, after Rowett voiced his dissatisfaction to the referee he turned his anger towards the Barnet bench, leading to Davids refusing his offer of a handshake after the final whistle.
"If you are a manager you have to be above the team and you can't disrespect someone on the sideline," the former Holland international said. "I don't pretend. If you don't show respect I am not going to show you any. He crossed the line during the game."
Davids continued: "We didn't play that well in the beginning, but the penalty was important. It was then up to mental strength for us to get back into the game. We changed some things at half-time and then we started playing football.
"It was a great performance from Ricky but the thing is he is part of a team and for us it doesn't matter who scores the goals, but it's always good to have someone who is on a high.
"We take it game by game. It's one win so we can't get carried away with ourselves. We play Gillingham on Boxing Day and that's going to be a massive test."
The Brewers had looked in control in the first half but, after slipping to the loss, Rowett was adamant that Barnet should not have been awarded the game-changing penalty after 53 minutes.
"I think I would be better off not commenting too much on the officiating but it's clearly had a huge, huge influence on the game," Rowett said. "Firstly the corner that was given in the lead up to the goal, it's not hit any of our players and they gave it as a corner.
"And then he's given it as a penalty when Jack (Dyer) had both hands down by his side, and the ref signalled that he had them both up in the air so you can understand our frustrations."