The Bees lost 3-2 at relegation rivals Accrington and both sides remain in trouble.
Player-manager Davids was sent off on 87 minutes, the second time he has seen red against Stanley this season.
But former Dutch international Davids insists he is relishing his time in management.
"I am enjoying it, League Two is a lot of fun and every match is like a final," said Davids, who turned 40 this week.
"We have to give 110 per cent every week but unfortunately we didn't play for the first 30 minutes and, if you do that, you get punished. We fought back and I felt we deserved an equaliser but it didn't happen.
"When I came in some were saying we were already relegated but we moved to 18th place two weeks ago.
"Perhaps we thought we were comfortable. We do it the Barnet way, which is always the difficult way, but we are ready to fight every match. We have to man up and take responsibility."
Davids was sent off following a challenge on Stanley striker James Gray after the former Ajax star had moved from midfield to centre-half in the second half. He did not agree with referee Mark Heywood's decision to show him a second yellow card.
"It was harsh," he said. "It certainly wasn't a booking."