A second-half try from full-back Rob Cook underpinned Gloucester's revival to claim a 16-10 win that made it five league games unbeaten and left Bath still without a victory at Kingsholm since 2006.
England fly-half contender Freddie Burns chipped in with a drop-goal, two penalties and conversion of Cook's touchdown, and Bath could only reflect on what might have been.
"We had no control of the first-half. We were on the back foot almost everywhere," Davies said.
"It was important to sort things out. It was certainly a game of two halves, and we managed to bring width and continuity in the second period.
"Perhaps we were a bit complacent in the build-up this week, but it was pretty easy at half-time because we had been so far off the game. We knew what we had to do.
"We showed the resilience and composure which is a hallmark of this team."
Gloucester gave a debut off the bench to their New Zealand international scrum-half Jimmy Cowan, but it was Burns who again caught the eye just five weeks before England launch their autumn Test schedule.
"Freddie has a fantastic skill-set, and it has been about putting all that together and managing games," Davies added.
"At international level, you look for consistency in players and game-management from your 10, and he is certainly doing that at the moment."
Bath made a powerful start after fly-half Stephen Donald converted his own first-minute try and then kicked a penalty, and they will wonder how they let things slip, especially given their early set-piece control when Wales prop Paul James dominated the scrums.
Head coach Gary Gold appeared to have an issue with the breakdown and on two separate occasions he could be seen airing his displeasure at officials, but he did not attend the post-match press conference to expand further.
Bath coach Toby Booth said: "We have got to be good enough to take the referee out of the equation and look after ourselves.
"We deserved to be a little further in front than 10-0, but you need to convert when you are in the ascendancy.
"We had opportunities to convert, and in tight games - especially away from home - you have to take what is on offer, but unfortunately we didn't do that.
"There is plenty to be positive about, though.
"The Premiership season is a long road, and there were plenty of positives today, but make no bones about it we are bitterly disappointed with the result."
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