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Meehan said: “I am very disappointed with our defensive application.
“Defence is a reflection of motivation and attitude, and we need to do some work on that.
“Glasgow are currently second in the Magners League, they have a terrific spirit and great drive, and we have to make sure our attitude is spot-on when we go up there next Sunday.
“At 35-19 ahead, we had the game under control, but it goes until the final bell, which is a question for the players individually and collectively.
“Holes opened up in our defence because guys were lazy.”
Wing Michael Stephenson’s try double, plus touchdowns for flanker Andy Beattie and substitute centre Shaun Berne, gave Bath the bonus point success they anticipated.
But fly-half Butch James’ 15-point haul ultimately made the difference, denying a Glasgow side whose former Wasps wing Thom Evans scored three tries before Hefin O’Hare and fly-half prospect Ruaridh Jackson also touched down.
Meehan added: “If we are going to go through, then we need to win in Glasgow next weekend.
“We need to continue nipping at Toulouse’s heels.”
Glasgow are now effectively out of the quarter-final running after suffering a third successive group defeat and coach Sean Lineen said: “We are very frustrated.
“The guys had a lot of belief coming down here. They are an exceptional bunch of players, and they want to win.
“Losing against Newport Gwent Dragons in our opening game was the killer for us. We were 10-0 up in that game, then their forwards came back and dominated the contest.
“It would have been fantastic to get a result here, but ultimately we need to tighten our defence and we’ve got to learn when to play - and when not to play.
“We came up short, but the players are hurting. We deserved to maybe get a bit more.”