Slaven Bilic wants to see improvement from his Baggies side after another slow start away from home.
Albion again had to come from behind to secure victory with a debut double from substitiute Grady Diagana after Luton had taken a first half lead.
"There are parts of the games that we have to improve on,” Bilic told the club's official website.
“And that is not about quality, that is about consistency. This is what football is all about because quality we have, shape we have, style of playing we have, squad we have. It is about consistency.
"There is going to be ups and downs but it is our job to warn and reduce those ups and downs."
The Baggies boss reserved praise for Diagana after he brought on the West Ham loanee for his first league action at half time.
"The whole team changed. Make no mistake Grady (Diangana) made an impact but it wasn’t only him. He changed the game, but it was the whole team. They needed a bit of instruction, not hard, but a warning like ‘this is not good enough guys’.
“We started very bad and then after we conceded the goal we just were okay but we took our time and didn’t take responsibility and we are not that kind of team. Nobody wants us to be that kind of team."