Walter Smith's men now have the opportunity to make amends when they travel to Bucharest this midweek to face Unirea in a match which can either resurrect their qualification campaign or all but end any hopes of progressing to the knockout stages.
Rangers were held to a draw against Hibernian last week but produced one of their best performances of the season against the Edinburgh club, before taking the lead against Dundee United only for Sunday's match to be abandoned at half-time because of the weather conditions.
"I think we are getting back to the way we are capable of playing," said Davis, who netted the goal at Tannadice.
"I think we are working harder off the ball as well, pressing teams and making it more difficult for them.
"We have shown that in the last couple of games but we have to keep that improvement going because there is still a lot of room to improve as a team."
Rangers suffered plenty of criticism in the wake of their thrashing by Unirea and Davis admits the importance of Wednesday's game cannot be emphasised enough.
"It's a massive game for us," he said. "If we are to have any chance of qualifying, we need to go out there and get the win.
"But we know from playing them that they are a well-organised team and a good side.
"Hopefully a bit of luck will go our way and we can go there and get a result."
Davis will no doubt be looking for a change of luck personally, after missing from the penalty spot against Dan Petrescu's men before wrongly believing he had opened his account for the campaign against United.
He said: "It was my first goal of the season - although it's not anymore now.
"It's just very disappointing and frustrating. Having missed a penalty as well, it would have been nice to get the goal. But I have to get my head around that and look ahead to the next game."