With the visitors already assured of a top-seven place, they made eight changes, but the Hatters never came close to the eight-goal swing needed for them to join Boro in prolonging their campaign. However, Plymouth’s victory at Shrewsbury meant it did not matter anyway.
The hosts were in front after just five minutes when Elliot Lee’s shot was only parried by Chris Day, allowing top scorer Mark Cullen to sweep the ball into the empty net.
Steve McNulty thundered over a shot from long range and Jake Howells’ header was deflected behind, before Jonathan Smith’s shot was easy for Day to collect.
Luton had a second goal by half-time though, as full-back Michael Harriman hooked a superb half-volley into the top corner of the net with his left foot.
After the break, it could have been 3-0 ahead but Cullen somehow volleyed wide from Lee’s inch-perfect delivery.
Cameron McGeehan had an effort blocked, while Howells and Lee both sent shots wide and Cullen’s low shot was straight at Day. Luke Wilkinson’s header was also cleared off the line by Roarie Deacon.
Harriman was inches away from his second goal of the afternoon, firing narrowly wide as Stevenage only threatened late on – with Elliot Justham saving from Jack Jebb and then Calvin Zola.