The Hoops’ defense was loosened for both goals in the 2-1 defeat that defeated them in the Champions League.
Hatem Abd Elhamed was particularly out of step when he allowed Tokmac to fly for the winner with 15 minutes remaining.
And Miller said the Israeli right-back had “gone with the fairies” as the Grand Dons criticized the standard of modern-day defenders and the training routines their managers gave them.
Speaking on BBC Radio Scotland, he said: “Are the teams really working on defense? Are they really working on defense?
“Do they get a return of four in there, do they put six put against them, do they make it difficult, do they throw balls into the box, they ask their defenders to put their heads? on that ball when it rains?
“I don’t know if they do. Every time you watched Celtic under Brendan Rodgers it was the same form.
“He goes down to England, it’s also the same form. The two center-backs are there and the full-backs, their first thought is to get into the park, they’re like auxiliary midfielders.
“You then ask the goalie to be like a field player.
“Elhamed was gone with the fairies. I don’t know what he was thinking.
“But I bet you he was thinking about going ahead.” “He had to adapt and he didn’t know how to adapt. The vast majority of defenders don’t have that pride… when you are asked this question, you fail miserably. ”
Celtic were pushing for a winner after Ryan Christie responded to Ferencvaros’ David Siger’s opener in the second half.
Neil Lennon actually noticed that the game was easier than expected with the hosts’ opportunities and possession.
But Miller pointed out that this is when the Parkhead club are most vulnerable in Europe.
“When the players really think, ‘we’re going to hit that goal,’ that would give me chills, ‘he added.
“Because I know that in Europe, when you get into that mental state, that’s when you get hit with the punch.
“If you let your guard down, it’ll knock you to the ground.
“That’s what happened last night. It’s a lesson but how many lessons does Celtic need?
“And can they learn from it? I am not so sure. “