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"Matthew Rees said at the end the performance was not acceptable and he was right," said Davies.
"If we turn up like that against Northampton next week we will be in for a bit of a hiding.
"We will take the result because it takes us to fifth in the league but we were pretty disappointed with the whole performance.
"You have to give credit to Glasgow because they came down here and gave it everything and competed very hard for our ball.
"We seemed to be expecting things just to happen naturally and we need to make sure we perform and not just chuck the ball around for the sake of it.
"We need to show a bit of patience and it is frustrating at the moment."
The Scarlets are currently second in Pool 1, five points behind leaders Munster and three points ahead of the Saints.
When the two sides last met in the competition back in Round 2 in November, the Scarlets produced a stunning performance to take a 28-23 victory and another big performance is needed says Davies.
"We need make sure we come in on Monday with a good work ethic and front-up like we did at Franklin's Gardens," he said.
"We have to make sure we finish the Heineken Cup on a good note with two good performances.
"We are in a position of strength and we need to make sure we do everything we can to put ourselves in contention.
"They will be coming down here for a bit of revenge.
"But they are also smarter than that and they have had some good wins lately, including defeating Harlequins last weekend.
"It is a tough game but is something we are going to relish and look forward to."
