Moura and Wanyama were among seven changes made by manager Mauricio Pochettino from Tuesday's 1-0 win over Manchester City in the first leg of Spurs' Champions League quarterfinal - a game in which Kane suffered a left ankle injury that could rule him out for the rest of the season.
In a statement on their official website, they explained: "Following assessment over the past two days, we can confirm that Harry Kane has sustained a significant lateral ligament injury to his left ankle following a challenge in our Champions League quarter-final, first leg win against Manchester City".
Mauricio Pochettino subsequently hinted that he was anxious Kane will be unable to play again this season and Spurs have now confirmed that the injury is indeed a serious one.
Already without the injured Harry Kane and Dele Alli, Pochettino opted to start with Son Heung-min, Danny Rose and Toby Alderweireld on the substitutes' bench.
Spurs boss Pochettino heaped praise on Moura after game, saying: 'Today we saw him step up when there was no Kane or Alli.
Fourth-placed Tottenham have six league games remaining and are a point ahead of rivals Arsenal as they battle for a top four finish and a place in next season's Champions League.
The England captain, who has scored 24 goals in all competitions this season, left the club's new stadium on crutches with a protective boot on his foot.
Three minutes later, Tottenham struck again.
Stankovic should have done better than poke wide from Juninho Bacuna's corner as the defender wasted a golden opportunity to give Huddersfield hope.
He nearly got another with a volley that cannoned back off the crossbar. His hat-trick was complete deep into stoppage time, substitute Heung-Min Son's pass inside the defender finding Lucas who once again dispatched an excellent finish, the ideal end to a flawless afternoon.