Even without Raheem Sterling, England displayed the firepower that will make them one of the favourites for next year's European Championship.
At 26 and 24, Harry Kane and Raheem Sterling are the older heads of a thrilling forward line that threatens to be the envy of Europe next summer.
Southgate has built on taking England to the semi-finals of the 2018 World Cup, with his side crashing home 19 goals in a dominant qualification campaign.
For Sweden, who failed to qualify for the previous two World Cups, it was their best result since finishing third at the 1994 finals.
England and Belgium went into their final Group G match having already sewn up qualification to the knockout rounds.
England are through to the World Cup last 16 in style after trouncing Panama 6-1 in Nizhny Novgorod on Sunday.
England assistant manager Steve Holland says Gareth Southgate qualities echo Jose Mourinho, Antonio Conte
Steve Holland worked with the London club's first team from 2011 before joining Gareth Southgate, and England, in 2016.
Better me than the players: Manager Gareth Southgate England's first injury casualty in FIFA World Cup
England manager Gareth Southgate admitted his World Cup celebrations will be more muted for the remainder of the tournament after dislocating his shoulder while out running on Wednesday.
England held an open training session in nearby Zelenogorsk watched by hundreds of excited young fans.
Encouraging draws in recent friendlies against Brazil, Germany and Italy show the English are heading in the right direction but they have been here before in the run-up to tournaments.
England landed in Russia hoping a talented young World Cup squad can shake off the disappointments of recent tournaments.
Southgate has made a powerful statement of intent and observers have been impressed by the open approach he has encouraged the squad to what lies ahead.
Sterling hasn't scored in his last 20 games for England, stretching back to 2015.
Rashford had scored with a beautiful long-range shot to set England on their way to their second victory this week as they prepare for the Group G clash with Tunisia in Volgograd on June 18.
Southgate claims Sterling justified his decision to protect the troubled England star despite his booking for diving against Nigeria.