The 26-year-old said that despite the scoreline in England, they felt they were on the right track.
"We knew it was coming to be honest," Lyon said.
"Yes England beat us over there 3-0 but it was a lot closer over there.
"We had opportunities but we fell over at the line and here in Australia we've won the bigger moments and won them pretty well.
"It's been a big reward for what we went through in England."
Lyon felt his spot in the Australian line-up was cemented even before his impressive Ashes haul.
"I've felt that for a while now; I'm confident I've got the skill set to get the job done.
"It's good to contribute but I'm more worried about the team.
"I'm more than happy to go unnoticed."
While critics are calling for the head of England skipper Alastair Cook, Lyon felt he was the right man to lead his team back from cricket oblivion.
He said there was still plenty of motivation in both camps.
"There's no dead rubbers in Test match cricket.
"It is tough but it comes down to the character of your coach and of your team.
"Alastair Cook is a great captain, a great player and I'm pretty sure he's going to come out and lead the England side really well."
- AAP
-AAP
