The Bees failed to beat Welling United on Saturday but they had to play 65 minutes with ten men following the dismissal of Andy Yiadom.
Davids was pleased with the way his side responded to what he called a poor decision and he believes they will push on at the Kingfield Stadium.
Upon reflecting on Saturday’s 1-1 draw with Welling United, Davids admitted he was pleased by the character shown by his side.
“I was very pleased [with the result], but I was more pleased with the character shown by the team with ten men.
“In the first-half we created a lot of chances, perhaps even more than we usually do, but then we got a bad decision from the ref and they scored a lucky goal.
He added: “It was important how we responded, and we responded very well.”
Davids continued by praising the Bees’ defence who have had to cope with a number of injuries in recent weeks.
“They have been very good. As I always say the guys who are playing are important but the guys who are not need to stay focussed and be ready to step in.
“If you have that you will have a team. When players come off the bench and are solid it gives you a lot of confidence and shows you’re moving in the right direction."
Davids did however admit his frustration at the goals Barnet have conceded throughout the season.
“The funny thing this season is that we seem to have impossible goals going in against us.
“You have free-kicks flying into the top corner and pieces of individual brilliance, but that is football and when it happens you have to applaud the quality."
At the other end of pitch Davids praised the impact of Keanu Marsh-Brown and Keiron Cadogan who made his Barnet debut against Welling United.
“Keanu is progressing very well. He just needs to stay focussed and push himself to be better in every game.
“I think Keiron did very well on Saturday and he definitely gives us another option. I was pleased with how he played and I think he will bring a lot of pace to the team.
He continued: “I worked with him at Crystal Palace and I know what qualities he has. He is an eager kid and he is open to progress which is very important here because you need to have the desire to improve.”
