The pair, introduced late in the second half, made a difference within 10 minutes as Maddison, assisted by Vardy, broke the deadlock, before the ex-England international striker marked his return from injury with a goal in the dying seconds.
The Clarets, as a result, remain in the relegation zone.
Did our pitchside photographer spot you in the stands at Turf Moor?
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FANS Photographer Dave Howarth/CameraSport The Premier League - Burnley v Leicester City - Tuesday 1st March 2022 - Turf Moor - Burnley Photo: CameraSport - Dave Howarth
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FANS Photographer Dave Howarth/CameraSport The Premier League - Burnley v Leicester City - Tuesday 1st March 2022 - Turf Moor - Burnley Photo: CameraSport - Dave Howarth
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FANS Photographer Dave Howarth/CameraSport The Premier League - Burnley v Leicester City - Tuesday 1st March 2022 - Turf Moor - Burnley Photo: CameraSport - Dave Howarth
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FANS Photographer Dave Howarth/CameraSport The Premier League - Burnley v Leicester City - Tuesday 1st March 2022 - Turf Moor - Burnley Photo: CameraSport - Dave Howarth