Numerous claims predate the arrival of Guardiola as manager in 2016, since when the club have excelled.
"Hopefully next season, like in Europe, they can accept that we install VAR in this situation and it will be fair", Guardiola added.
In April a year ago, Premier League clubs voted as a whole to continue "advanced testing" of VAR rather than implement it in the Premier League for 2018/19, but Guardiola said City had backed the technology - and added that if others had agreed, it could have ruled out Sterling's goal if it was wrongly awarded.
The win moved Premier League leaders City four points clear of Liverpool ahead of their home game against Burnley on Sunday - a match Juergen Klopp's side can ill-afford not to win. Believe me, I don't care.
He said: "Just in case it is offside, I am sorry. We did not take the second half seriously", Pochettino said. If we have made mistakes we will be punished - it is what it is on and off the pitch - but I'm pretty sure what we have done is incredible.
"I spoke with the players and they know how tough it will be". When we did it [win], it belongs to us and nobody is going to change that. When asked whether his achievement of winning three trophies had been "tainted" by the claims, Guardiola replied: "No, absolutely not".
If found guilty, City could face a possible Champions League ban.
A UEFA statement published on Thursday had confirmed European football's governing body was launching an investigation into the Premier League champions for an alleged breach of FFP rules, as City stand accused of manipulating money earned from a sponsorship deal with Etihad airways.
Liverpool's American ownership were among those who urged the Premier League to investigate title rivals Manchester City over alleged financial cheating.
"We are now investigating these matters and will allow Manchester City every opportunity to explain the context and detail surrounding them".
Sancho, who is now an England global, left City for Borussia Dortmund in 2017. I don't want to just score goals but important goals and help the team.
City maintain the accusations are "entirely false".
"The game is so fast and so quick".
Two of Palace's joint-owners, Josh Harris and David Blitzer, are said to have been among those chiefly involved in calling for the Premier League to act on City's alleged breach of regulations.