Bridcutt, who joined Leeds on loan from Premier League side Sunderland in November until the start of January, started the Championship game against Charlton at The Valley and played for the entire 90 minutes.
The 26-year-old defensive midfielder did not take a shot, had a pass accuracy of 74%, put in one cross, attempted one dribble, won 100% of his headers, and made three interceptions, one clearance and one block.
Evans was pleased with the display of the former Brighton & Hove Albion star and told BBC Sport: "I was delighted again with Bridcutt and I thought he had fantastic support with Cook and Adeyemi in front of him.”
Leeds are 18th in the Championship table at the moment with 23 points from 20 matches, seven points above the relegation zone.
The Whites will return to action on Thursday evening when they take on Wolverhampton Wanderers away from home at Molineux in the league.