The Socceroos' winger hit an early double on his first appearance in nine months on Thursday to set Hibs on their way to a 7-3 aggregate victory at Easter Road.
Boyle was a surprise inclusion in a team which showed six changes to the one that lost last week.
The Australia international's previous game for Hibs was in late October, when he suffered the knee injury which ruled him out of the World Cup.
Boyle had been taken to Andorra for what Hibs manager Lee Johnson described as "cheerleading" duties on the bench, but he was drafted straight into the starting line-up after playing 45 minutes of a friendly against Blackpool on Saturday.
Johnson admitted afterwards he had ignored medical advice to accelerate Boyle's comeback.
"I believe in him and I believed he would (make an impact) because I have seen him every day," said Johnson.
"I have been as frustrated as anybody and in fact I went against medical guidance last week to play him at Blackpool with this game in mind.
"I had to question myself a little bit, whether it was desperation to put him in, but it's more about the balance of the team and what we require to be as elite as we were.
"It was needs must in one sense but he was also ready. He passed all the physical markers on Tuesday.
"He has worked extremely hard and he has been champing at the bit to get on earlier. We are very proud of him of how hard he has worked but he will be very happy and he will sleep well I am sure."
Boyler made his mark inside 10 minutes, running on to Joe Newell's pass over the full-back and rolling the ball into an empty net after the goalkeeper raced off his line only to palm the ball off the wide player.
Hibs doubled their lead midway through the half when the unmarked Boyle headed home Newell's cross from seven yards.
Josh Campbell also scored twice and Christian Doidge and Elie Youan were also on target as Hibs made up to the travelling fans who had launched a vitriolic response to their team's defeat seven days earlier.
Doidge netted an overhead kick in the 29th minute after Will Fish had headed against the bar and the goals continued three minutes after the interval.
Campbell took advantage of hesitancy in the visiting defence to loop a header home after Doidge's flick-on, and the midfielder tapped home his second in the 61st minute following good wing play from Youan.
Youan soon smashed the ball high into the net to make it six and there were other chances for Hibs to give their supporters further cause to wonder how they had managed to lose so poorly in the first leg.
There was a late reminder that their opponents had some quality in their ranks in the 83rd minute when Angel De La Torre arrowed an excellent finish into the top corner for a consolation goal which prompted applause from some of the 13,840 crowd.
