3
–Midtjylland won in overtime to get rid of the HoopsCredit: AFP
But they conceded a draw to Awer Mabil which carried the tie into extra time.
And after just four minutes, Celtic were behind when Raphael Onyedika fired a high shot to the ceiling of the net.
That was enough for the Danes to hang on to progress 3-2 on aggregate.
Watch Celtic fall in the Europa League qualifiers, where they will play Czech Jablonec.
And the pressure is mounting on Ange Postecoglou and his players ahead of Saturday’s first league game against Hearts.
Postecoglou had made a great decision before the game by naming Scott Bain in goal ahead of Vasilis Barkas.
The young Dane Murray also received his first start at Celtic in place of the suspended Nir Bitton.
Neither team created many chances in a nervous first half.
Celtic had the best chances, but Odsonne Edouard’s volley went wide.
David Turnbull also saw a shot from Jonas Lossl in the home goal.
The only real downside for Celtic in the first half was the card he showed Stephen Welsh.
But it took a moment of magic just three minutes into the second period to open the tie.
And what a blow it was from the new captain McGregor, who took a header from a corner to his chest before diving into the far corner of the net.
COMPETITION: LOCATE THE BALL TO WIN A CAR AND CASH