While offering some of the more exciting moments of the afternoon the Wallabies shortcomings at the set piece contributed massively to the 26-17 defeat by their Group A World Cup opponents.
Cheika says his side may have been “too honest” as Ben Morgan scored both of the tries for the hosts off the back of scrums.
“You know they (England) are a strong scrum and they’ve got a good reputation. Some scrums we weren’t good enough, out and out, and some scrums were definitely open to interpretation,” said Cheika.
“Because England have a good reputation, we have to improve ours if we are going to get the rub of the green on those interpretation calls.
“We need to change some things, technique and strategy. Perhaps a bit more wheeling or something because that seems to be accepted.
“Perhaps we are just a little bit too honest maybe in the scrum. There are some personnel we are going to look at as well. The lads are well aware of that.”
England coach Stuart Lancaster was happy with the win but also expects improvement from his side who saw George Ford kick 16 points after getting the nod ahead of Owen Farrell.
In a major advantage for northern hemisphere sides they have a chance to make them in the Six Nations in the new year, while the Wallabies have a long time before they next line up together.
“We played intelligently, the boys executed the game-plan. The scrum and maul were excellent,” said Lancaster.
“But that was the game today – you have to play rugby in different ways.”
The end of the world was declared – ridiculously – after England lost four Tests to New Zealand and narrowly to South Africa. But now they have two wins on the trot against Samoa and the Aussies.
“Could do better, but it was never as bad as people were making out,” Lancaster said.
“Against New Zealand and South Africa, our game management let us down. Today our game management was much better.”