Jones kicked off some verbal sparring between the two former Randwick teammates by insisting last Saturday there were issues with the legality of the Wallabies scrum.
Cheika could not resist one last dig, saying Jones had tarnished his legacy by some of the comments he made during England's historic 3-0 series win over Australia in June.
England under Jones have won 11 games in a row, including their first Six Nations grand slam for 13 years, a three-test series win in Australia and their first victory over South Africa since 2006.
"It doesn't worry me at all".
The build-up has been dominated by an exchange of jobes between Jones and his opposite number Michael Cheika, but who will do their talking on the pitch?
"It's fair to say that this Wallaby team is a much better outfit than the side they put on the field in June", he wrote.
"David Pocock will want to go out in the right fashion and the team wants to send him out in the right fashion", Moore said Friday of the 28-year-old, capped 65 times by Australia.
'Any good England rugby teams are underpinned by a strong scrummage - it's a pride thing - and we want that on Saturday.
"We need to win this game to progress to the next stage. The great games of the world - golf, tennis and rugby - stand alone because they have a standard of behaviour".
The England coach was critical of the Australian media's behaviour during his side's tour in June, and highlighted concerns over the Wallabies scrum ahead of this weekend's clash.
"He's just geeing up".
Jones has been on the front foot this week, with England going for a record 14th win in a row since the former Wallabies mentor took over past year. "You do trade time for the correct decision to a certain extent but we want to get there as quickly as possible".
"We believe that when we went on the Australian tour, [England] staff and players behaved in a very respectful manner".
"It's their last chance of redemption because they've had a tough year and if they win this Test, they can go home happy", Jones said.
"I don't know where that comes from. He has to have a reason".
"The players are in charge and the team that plays best on the day will win".
"They have got some technical issues", Jones said of the Wallabies, who he coached from 2001-05. "We win this Test and we create history, so we're aiming to create history". The first six months or so were frustrating and I couldn't really stay fit and when I was fit I wasn't near sharp enough. "He's been a guy trying to get back to his best form".
'You don't know what will happen in the game - so we have prepared for scenarios A, B, C, D. Dan Cole has 60-odd caps and you don't get that by doing illegal things, week-in, week-out. We're moving along that track.
"I see Tom Wood as being the key to stopping them".
'All those fun and games are over now, ' said Cheika, also turning his focus to the task in hand.
Harlequins winger Marland Yarde will take the place of Elliot Daly, who saw red in last weekend's victory of Argentina, while Nathan Hughes will make his third appearance, replacing the injured Billy Vunipola who limped off last week - meaning England had to play with just 13 men for nearly a quarter of the match.
"They've gone back to a more Australian style of attack, flatter at the line, options inside and out", he said.
"All the other stuff is just a sideline".