Kevin de Bruyne scored eight goals and provided 16 assists in City's title win.
Mohamed Salah was allegedly seen on his phone while driving after which Liverpool referred footage to Merseyside Police.
Bernardo Silva's fine finish capped a typically incisive City raid that suggested Pep Guardiola's side have picked up where they left off.
Mohamed Salah got Liverpool up and running as they comfortably dispatched West Ham in their first Premier League fixture of the season.
Chelsea opened their Premier League campaign with victory against Huddersfield, while Tottenham, Bournemouth, Crystal Palace and Watford also made winning starts.
Douglas Luiz, signed from Vasco da Gama for 10.7 million pounds (USD 13.6million, 11.9million euros) last summer.
Jurgen Klopp said Liverpool spent so much to build a squad with the depth necessary to be genuine title contender.
Liverpool weren't just the biggest spenders, but got their business done early and improved the key areas of Jurgen Klopp's squad that needed strengthening.
Shaqiri was one of five recent high profile signings which saw Liverpool shell out more than 200 million pounds in an attempt to close the gap on Premier League champions Manchester City.
Sheamus from Ireland, who has been a life-long supporter of the Jurgen Klopp-managed club.
Mourinho said earlier this week that Liverpool's transfer activity ought to increase expectation of a title victory.
Both Liverpool and City's pre-season preparations in the United States have been disrupted by the absence of several key players who starred in the World Cup.
The club have spent 174 million pounds ($229 million) on midfielders Naby Keita and Fabinho, winger Xherdan Shaqiri and, perhaps most crucially, Brazil goalkeeper Alisson.
Liverpool's new midfielder Fabinho says his club can wrestle the Premier League title away from Manchester City while he tries to lure France star Kylian Mbappe to Anfield.
Alisson is a key signing for Jurgen Klopp who was desperate for a new goalkeeper to replace Loris Karius.
Jurgen Klopp said Loris Karius' errors in the Champions League final defeat to Real Madrid were because he was concussed.
Mohamed Salah had scored 44 goals for Liverpool in just 52 appearances last season.
The latest development in the on-off transfer saga came after FFF chief Noel Le Graet had earlier said: "Nabil Fekir is in the process of being transferred."