Ekoku struck four times at Goodison Park, becoming the first player in the competition to do so.
Since the start of last season, Pukki has scored 33 league goals, more than any other player across the top four tiers of English football.
Norwich head coach Daniel Farke, though, was more pleased with other aspects of Pukki's game.
"They were really brilliant finishes from Teemu," Farke told Norwich's official website. "His workload was brilliant, and I remember him gaining possession back close to our own 18-yard box and this is exactly the mentality and spirit we need.
"It’s not about individual statistics and how many goals he scores, it's all about the team and for that he is so important for us so it was a brilliant performance from him."