The 21-year-old was looking to score his first goal in the Premier League since 3 November when Rashford netted the winner in a 2-1 victory over Bournemouth on the south coast.
Manchester United were left trailing Southampton 2-0 after 20 minutes following goals from Stuart Armstrong and Cedric Soares to leave the visitors reeling.
However, Rashford helped the Red Devils to halve the deficit when his run and pass led to Romelu Lukaku’s goal in the 33rd minute.
The England international played a key role in Ander Herrera’s equaliser after the striker darted past two Southampton defenders before his cutback found the Spanish midfielder.
Rashford has scored two goals and has made three assists in six starts and five substitute appearances in the Premier League so far this season.
Former Liverpool FC and Manchester United striker Owen underlined Rashford’s continued importance to Jose Mourinho’s side given his natural pace.
“I thought he’s been outstanding [on Saturday evening],” Owen told BT Sport.
“He made two mistakes for the free kick for Southampton. But he’s the one player, we spoke before the game about running, it’s very, very simple but in this day and age you have to run and run fast and be direct and make things happen.
“I think that Rashford by and large is the only player in the Manchester United team that does that. I thought Ashley Young had a good first half. But Rashford runs at players and it causes havoc, it changes the picture all the time. And when he does that it’s obviously another goal.”
Rashford has struggled to hold down a regular starting spot under Mourinho, despite the Portuguese head coach giving the English forward lots of first-team minutes from the bench.
Manchester United will welcome Arsenal to Old Trafford in their next Premier League game on Wednesday 5 December.
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