Luton came into the game after back-to-back league wins for the first time since last December, when they beat Newcastle and Sheffield United in successive Premier League games.
But it was Argyle that went ahead as Al Hajj’s wonderful, controlled strike gave the hosts an early lead after Ryan Hardie neatly laid off Michael Obafemi’s pass into the Swede’s path on the edge of the box.
The hosts should have been further ahead just three minutes later when an unmarked Obafemi flashed Morgan Whittaker’s cutback wide of the near post from 12 yards as the Pilgrims began to take control.
Rooney’s side almost got a fortuitous second midway through the opening period when Bali Mumba’s scuffed shot from a half-cleared corner fell kindly to the feet of Al Hajj, but Thomas Kaminski did well to get down and palm away his low strike.
Luton began to assert themselves as the half wore on – Tahith Chong had a close-range strike from a tough angle blocked while Adebayo headed a free kick over the bar as the Hatters got some joy from longer balls over the Plymouth defensive line.
An Argyle chance went begging five minutes before the break, when an unmarked Joe Edwards fired straight at Kaminski after good work by Mumba while Luton could have been level but for an excellent block by Lewis Gibson after a Kornel Szucs slip let Adebayo in.
Adebayo missed another glorious chance early in the second half when he headed Reece Burke’s cross over from six yards while Dan Grimshaw tipped a low near-post effort wide not long after.
PLymouth thought they had sealed victory when Cissoko blasted them ahead after great work by Darko Gyabi, but just as Argyle’s fans thought they could celebrate a two-goal cushion, Moses levelled seconds later
The former Chelsea and Liverpool man controlled Alfie Doughty’s cross from the left and blasted a low left-footed effort past Daniel Grimshaw for his first goal since joining as a free agent after leaving Spartak Moscow in the summer.
Luton continued to pressurise Argyle but balls into the box went unconnected and breaks were dealt with by the home defence.
Adam Randell crashed a thunderous effort from outside the box off the Luton bar in the 86th-minute as Argyle tried to get a third, which they did in the third minute of stoppage time as Netherlands Under-21 winger Cissoko cut in from the left, saw a blocked shot fall kindly on to his right foot and made no mistake to earn Argyle’s second league win of the season.
