Mark Byrne and Luke Gambin were on target for the Bees, who stayed two points clear of the relegation spots against a slumping Fleetwood side who have only won once in their last eight games.
Byrne reacted fastest to a loose ball in the area to open the scoring before Gambin made sure of the points after a terrible defensive mix-up.
Davids, who was suspended after he was sent off in the 3-2 defeat at Accrington on Saturday, said. "It's always good to bounce back. The players performed really well and I think we really stepped up because we have had a couple of injuries and also a couple of sick players.
"I'm very happy and they showed some real backbone. Three players were sick at home including Jake Hyde, our key striker. But we play a certain system so the players who came in knew what they were doing.
"We just have to do our part in the relegation battle and then afterwards we will look at the others but at the end of the day you have to go to the end. Even if the other teams do not do well you still have to get the points in. In the last three games luck was not on our side but in that game it was and we really worked for it with the first goal."
For Fleetwood boss Graham Alexander it was a disappointing night at Underhill which meant his side now sit ninth, six points off the play-off spots. And Alexander pulled no punches in his assessment of his side's disappointing recent form.
"That was not good enough, it was an embarrassing performance and we were well below the level you should expect from professional footballers," he said.
"You can have all the skill and talent in the world but it's second in the end to your mentality, you have got to prepare for every game in the right way. We did not turn up in that game, we have shown we can beat the best teams in the league but it's not good enough when you can't beat those near the bottom.
"The players have let themselves and the people of Fleetwood Town down, it's not me they're letting down but the club and what they are wearing on their shirt. We prepare for every game the same way, it's all down to hard work now and we will come back on Thursday and keep working hard to see where we end up."
- Sports & Recreation