The Senegal international opened the scoring in the 40th minute to put the Reds in front, but they were pegged back in the 80th minute when James Maddison scored an equaliser.
However, Liverpool FC managed to snatch a winner deep into stoppage time after Mane was brought down by Marc Albrighton in the box and James Milner stepped up to convert the resulting penalty.
Mane, 27, has scored five goals and made one assist in eight Premier League games for the Reds so far this season.
BBC Sport pundit Crooks felt that Liverpool FC were lucky to be awarded the penalty, but singled out Mane for a top quality performance at Anfield overall on Saturday.
Writing in his column for BBC Sport, Crooks said: “I thought the penalty awarded by referee Chris Kavanagh for the tackle on Sadio Mane was a poor decision.
“Do I blame Mane for going down when contact is made in the box? Of course I don’t, but it wasn’t an infringement, it was merely contact in a sport that allows an element of contact.
“Regardless of that decision, Mane was back to his sparkling best and Leicester’s Marc Albrighton should have known better than to lay even a finger on the Senegal international in the box.”
Liverpool FC are now eight points clear at the top of the Premier League table heading into the international break after Manchester City were beaten 2-0 by Wolves on Sunday.
Next up for the Reds is a trip to Old Trafford to take on arch rivals Manchester United on Sunday 20 October.
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