Victory for Pep Guardiola's side came a week after the Premier League trophy was retained to join the League Cup and Community Shield already in City's possession.
A report states that the Premier League champions have not been cooperating with the investigation when they have been asked about information in leaked documents.
Manchester City became the first team since Manchester United in the 2007-08 season to retain the trophy, part of a hat trick of successes for Alex Ferguson's team.
Mohamed Salah suffered with a concussion during the Premier League game against Newcastle last week, but will return for Wolves clash.
Vincent Kompany's ferocious long-range shot settled nerves 70 minutes into the nail-biting contest at Etihad Stadium and took Manchester City back to the top of the Premier League.
Liverpool scored late to beat Newcastle 3-2 while a nine-man Tottenham Hotspur conceded a late goal against Bournemouth to lose 1-0
The defending champions will retain the title if they win their final two games, at home to Leicester and away to Brighton.
Manchester City defeated Manchester United 2-0 and returned to the top of the table with three games to go while Wolves handed Arsenal a 3-1 defeat at the Molineux.
Tottenham reached to its first European Cup semifinal in 57 years and will play Ajax while City’s quadruple dreams were extinguished.
No English team has ever swept the Premier League, FA Cup and League Cup, let alone win European soccer's top prize at the same time.
Man City fielded virtually a second-choice team amid a run of games every three days, and still had far too much for Cardiff in a match that resembled a practice session of attack vs defence at times.
City moved a point ahead of Liverpool, which hosts Tottenham on Sunday but will have played a game more than Pep Guardiola's defending champions.
Gabriel Jesus failed to score in Russia despite starting in each of Brazil's five matches as the designated center forward.
On a contrasting Saturday for the two rivals, City came from two goals down to defeat second-tier Swansea 3-2 in the quarterfinals while United went down 2-1 at Wolves.
The clash between Barcelona and United brings in plenty of history as it was the Spanish giants that defeated United in the 2011 finals at Wembley.
With a 7-0 thrashing of Schalke on Tuesday that completed a 10-2 aggregate victory, Manchester City eased into the last eight of Champions League.
Raheem Sterling's first goal was controversial but his quickfire treble turned a frustrating game decisively in City's favor early in the second half.
UEFA acted after the latest release last Friday included complete emails detailing how Abu Dhabi's owners secretly paid into inflated commercial deals.
The CEO said that City, currently on top of EPL points table, have been exploring the Indian market for the past two years now.
Manchester City is a point ahead of Liverpool thanks to its 1-0 win at Bournemouth on Saturday and Juergen Klopp's side being held 0-0 by Everton on Sunday.
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