Football chief Marcel Brands was also in attendance.
Tait told the Liverpool Echo afterwards: "I'm really glad Duncan was here.
"He's a great supporter of the academy and he is a great supporter of our young players. I'm glad he was here."
The coach added: "A few of the lads were nervous because it was a big game, and there was no pressure on Wigan, coming here to turn Everton over, so I think there was pressure on us to perform.
"From half-time onward I was delighted with our response."