Speaking to the Telegraph newspaper in the UK, Dwyer said England loosehead Joe Marler was the main offender, boring in sideways which causes the scrum to wheel.
“I have thought this for a couple of years but I originally attributed it to Mako Vunipola. Then I saw Joe Marler starting and they were both doing exactly the same thing,” Dwyer told the Telegraph.
“It must be by design.
“Neither of them scrummage square. Both of them angle in. Invariably it is at 45 degrees, but sometimes that ends up being at 90 degrees.
“Then when I see the opposition being penalised, I find that extremely hard to understand.”
Dwyer, who took Australia to World Cup glory in 1991, believes Marler’s illegal tactics gave England the upper hand at the set-piece against Wales last weekend and says Cheika should be wary of the same thing happening to Australia.
“So much of the scrum is based on perception,” he said in the Telegraph.
“The English work on having a reputation for legal scrummaging while doing the opposite. If I was Michael Cheika, I would be asking the referee is that allowed.
“Let’s hope they are not allowed to do that because England won a few penalties against Fiji that I would have awarded in the opposite direction.”
Dwyer isn’t alone in his criticism, with former referee Johnathan Kaplan tweeting “I’d like to see if the England pack is square on the loose head side…just the once.”
I'd like to see if the England pack is square on the loose head side ... just the once
— Jonathan Kaplan (@RefJK) September 26, 2015