The Manchester United duo uploaded a video on social media last week showing them practicing a goal celebration.
United legend Rio Ferdinand blasted the duo for the timing of the video – with the club currently in sixth place.
Pogba underwhelmed as United slumped to a goalless draw with Hull on Wednesday, with Lingard failing to make it off the bench.
And Ince has echoed Ferdinand by criticising the two players for their social media antics.
"I’m all for young players having a laugh and a dance, it’s a bit of fun," he told Paddy Power.
Paul Ince has ripped into Manchester United duo Paul Pogba and Jesse Lingard
Man United stars bring out 4x4s to tackle farm track to and from training
Thu, February 2, 2017
Manchester United stars were forced to roll out their fleet of off-road vehicles as they made their way to and from training down a dirty farm track
1 of 14
Manchester United stars are forced to take a farm track to and from training
Paul Pogba toiled as Manchester United drew with Hull
Get Quotes on Home Insurance
"The issue I have, and where I agree with Rio Ferdinand, is putting it all over social media.
"It’s irrelevant of if you’re third, fourth, sixth. If that video had come out after they had won the FA Cup final or won the Premier League, you could understand it.
"But when you’re talking about two players who are underachieving at the moment, it’s the last thing fans want to see.
"They don’t want to see two lads dancing as though they have just won some silverware on social media.
"This would not have happened in my time at United.
Paul Pogba and Jesse Lingard like to celebrate together
"I know me and Ryan Giggs used to dance when we scored a goal, and if we’d have put that on social media then, at fifth or sixth in the table after not winning anything, the likes of Bryan Robson, Peter Schmeichel and Mark Hughes would have absolutely slaughtered us.
"That’s not the Manchester United way. You win, then you celebrate.
"If I was at United now and saw that? They’d have got a bollocking from me. There’s a time and a place, and that wasn’t the right time "
Pogba and Lingard are both products of the United academy.
But both have endured indifferent campaigns with the Red Devils four points off the top four.