England had to come from behind to beat Slovakia 2-1 at Wembley on Monday, while Germany thrashed Norway 6-0 in a one-sided World Cup 2018 qualifier, with both teams closing in on a place in Russian Federation.
The Tottenham Hotspur player raised his middle finger during the 77th minute of Monday's game at Wembley, which England won 2-1, and there were claims it was directed at French referee Clement Turpin.
In the opening five minutes, England was under pressure and the 19-years-old player picked the ball to dribble it out of danger.
Rashford unleashed a dipping, angled finish from 20 meters in the 59th minute to earn England a sixth win in eight group games, having provided the corner that Eric Dier turned home to make it 1-1 in the 37th.
"We didn't start the game well but I was pleased with the way the players reacted on the field", BBC Radio 5 Live quotes Southgate as saying.
"Wasn't so good to begin with", a smiling Dier said of Rashford, "but he got better".
The maturity of Rashford's England team mate Dele Alli has been questioned after the midfielder was pictured making an offensive gesture after he was not awarded a free-kick.
"We have a responsibility to get them on their feet, but equally everywhere we go around the world, the opposition crowds really give the team a lift".
Slovakia would have overtaken Southgate's men at the top of Group F with a victory that was on the cards when Marcus Rashford's early mistake was punished by Stanislav Lobotka.
Elsewhere in Group F Scotland made light work of Malta to keep their hopes of reaching the play-offs alive, with Christophe Berra and Leigh Griffiths on target, while Slovenia beat Lithuania 4-0 to join the Scots on 14 points. Looking ahead, I think that in the match at Wembley the victory is closer to the British. "That shows how attractive football can be, it was a great crowd". Kane wriggled his way past two defenders in the box and drove the ball across goal only for the keeper to parry it to Alli, but the youngster could only watch as it bounced off him and out of play.
Kane took his global tally to 10 goals since debuting in 2015 after scoring twice as England eventually eased past Malta 4-0 in World Cup qualifying on Friday.
"We've got to assume Slovakia aren't going to come here and open up and make it easy for us".
The home side has shown threatening signs since their early slip-up, however, so let's not consign them to second place just yet.
"The mood in the team is great after our latest win". And, for a starting lineup who are still incredibly young, they're good experiences to go through because they build belief.