"It was not so long ago that City were very similar, in financial terms, to most teams."
He added: "But then a couple of changes of ownership at the club saw things change quickly for them. With that comes a great deal of expectation."
On Sunday, a Premier League spokesman confirmed Everton had at no point made contact with them about City.
It is understood it would take a formal complaint from a club for them to look into the matter further.
Lescott, 27, missed City's defeat at Goodison Park because of a knee injury.
He signed a five-year contract with City in August 2009 after a long-drawn-out transfer saga in a deal that made him the second most expensive English defender, after Manchester United's Rio Ferdinand.
In the run-up to the move Moyes described City's pursuit of the centre-back as "disgusting".
"It has not been handled correctly from over there [City]," he said.
It was not so long ago that City were very similar, in financial terms, to most teams
Everton manager David Moyes
However, Mark Hughes, Manchester City boss at the time of the transfer, defended his club's pursuit of the defender.
"We feel we are doing things the right way and through the proper channels," he stated.
"I'm not surprised David feels a bit aggrieved with the situation - you always are when a big club is trying to sign one of your best players."
The Everton boss also criticised Lescott at the time, saying the defender had shown "poor attitude" before joining the Manchester club.
Lescott later described Moyes' comments as "disappointing" and "inaccurate".
The centre-back, who has eight England caps, joined Everton from his first club Wolves for £5m in 2006.
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