"President Putin has failed to condemn and act against the homophobic witch-hunts in Chechnya, which have seen scores of LGBT+ people arrested and tortured, with some even being killed".
The Russians had a 2-0 lead at halftime thanks to goals from Yury Gazinsky and Denis Cheryshev.
It's the first time Russian Federation is hosting the World Cup.
The hosts could hardly have dreamt of a better start to their home tournament, putting the Saudis to the sword with the last two goals coming in added time.
The forward was soon replaced by Dzyuba, who struck nearly immediately by heading another Golovin cross beyond a helpless Muaiouf in the 71st minute.
The first goal arrived after 12 minutes from a neat header by unheralded 28-year-old Yuri Gazinsky, and came from a pinpoint cross from Golovin, the CSKA Moscow midfielder, who has been linked with a host of top English Premier League clubs.
Don't miss a moment of the World Cup!
Putin enjoyed the game from his private box alongside Saudi Arabian Crown Prince Mohammed Bin Salman who were friendly in the early part of the game, not so much at the latter end of it.
Russian opposition leader Alexei Navalny, set free after a month behind bars for organizing opposition protests, reports that Moscow's prisons have been refurbished to accommodate rowdy foreign World Cup fans.
"Due to unforeseen logistical circumstances, the Saudi flag bearers' delegation will unfortunately no longer be able to attend the opening of the 2018 FIFA World Cup", Coca-Cola said in a statement to Reuters.
"I have never done anything like this", Cheryshev said.
British singer Robbie Williams performed hits including Feel and Angels in the opening ceremony as performers carrying glittering boards and others representing the countries at the championship fanned out around the pitch.
One concern for Russian Federation, however, is that creative midfielder Alan Dzagoev appears to have injured a hamstring in the first half.
Golovin: "For us, each game is like the last".
Cherchesov urged his side to forget the result, thinking ahead to Tuesday against Egypt before a showdown with Group A favourites Uruguay in 10 days time.
Saudi Arabia had 60 percent of possession and played almost twice as many passes as their hosts, but were still blown away on opening day.
Nintendo Direct E3 2018 - Fire Emblem Three Houses
During today's Nintendo Direct event, a brand new entry in the Fire Emblem series was revealed called Fire Emblem : Three Houses . It will be interesting to see if Fire Emblem: Three Houses borrows from Fire Emblem: Heroes for mobile devices in any fashion.