Askou enhanced his growing reputation, with his side running rings round Hibs for most of the evening.
The Motherwell boss made five changes to the XI that started Saturday's 3-1 win at Kilmarnock, chose to go without a recognised striker and withdrew Maswanhise at half-time.
As they have done throughout the season, the hosts impressed with their passing and pressing and did a good job of shutting down the Hibs wing-backs.
That said, the goals owed much to the visitors' ineptness rather than tactical wizardry.
Jack Iredale was guilty of giving the ball away in his own half for the incident that led to the penalty, while Nicky Cadden did the same thing for the second.
Hibs will no doubt feel hard done by the penalty award and are sure to cite the mind-boggling decision not to give Livingston a handball penalty at Ibrox at the weekend.
In comparison, referee Duncan Nicolson's monitor review did seem harsh, with Just prodding the ball against the outstretched hand of Hanley from close range.
A week ago, Hanley was lapping up the Hampden applause after helping Scotland clinch a World Cup place, this time he was trudging off on 34 minutes after a VAR review confirmed an offside call against Maswanhise was wrong by a significant margin.
Boyle's incredible miss, choosing not to use his weaker left foot in front of an open goal, summed up Hibs' woeful night but Motherwell's astute display deserves all the credit.
Always brave on the ball, rarely rushed into the wrong option, confidence is coursing through Askou's team and fans of the Steelmen are lapping it up.