The Hatters had got through to half time unscathed, before falling 2-0 behind as Neal Maupay and Ben Mee scored.
Sub Jacob Brown pulled one back on 76 minutes only for Shandon Baptiste to seal victory and to find out how the Town players rated on the afternoon, see below.
9. Tahith Chong: 5
Recalled to the side after some impressive cameos in recent weeks, but only had the odd chance to get on the ball in the opening 45 minutes as Town were digging in to get through to the break. Had some bright moments, but a frustrating tendency to go to ground and try and win cheap free kicks came back to bite as he lost the ball in a dangerous area, Brentford taking full advantage to go 1-0 in front. Late on, might have made it 3-2, only to see his header ruled out for offside. Photo: Richard Heathcote
10. Chiedozie Ogbene: 5.5
Back at his former club, he was becoming increasingly frustrated in the first half as any forays forward were often ended by the attacker either losing his footing, or the Bees defence robbing him of possession. Felt like he wasn't getting any decisions from the referee, but Brentford had done their homework and kept him on a tight leash. Still doesn't look full fit as with his influence stunted after the break too as Brentford dominated to move 2-0 ahead, was taken off with half an hour still to go. Photo: ADRIAN DENNIS
11. Carlton Morris: 5
Really is a thankless task having to play upfront for the Hatters away from home as he barely saw the ball in the first half, or had a kick in the final third, having to just try and close the home defenders down who are able to simply pass the ball around him. Was then unlucky to see Mee’s header deflect off him and into the net for the second goal, before substituted for Adebayo on the hour mark as his search to find the net once more stretches on. Photo: Nathan Stirk
12. Jacob Brown (SUB): 6.5
On in the slightly alien position of right wingback at the break after Edwards opted to move Kabore over the left for the second half. Gave his all as he does whenever picked by Luton, getting through plenty of running up and down the flank. Confidence buoyed by his goal against Palace last week, he fired one attempt over, but then took Barkley's pass in his stride and clinically beat Flekken to pull one back for the Hatters. Photo: Warren Little