The Celtic right-back enjoyed an excellent full debut under Neil Lennon.
Celtic were given a bit of a scare against Kilmarnock this afternoon.
Eamon Brophy's opener after the half-hour mark looked like being enough to give the visitors a 1-0 lead going into the break.
But Odsonne Edouard scored twice either side of the half-time whistle as Celtic led 2-1 on 53 minutes.
Ryan Christie put the result beyond doubt four minutes later, but it was touch-and-go for the Hoops for a little while.
In addition to the three points, there were a number of positives from a Celtic perspective in the form of individual performances - and Moritz Bauer looked particularly impressive.
Bauer, who made his full debut for the Bhoys, looked excellent going forward and in defence, and on another day the Swiss right-back - loaned by Stoke City - might've had a couple of assists to his name.
Here's how Celtic fans reacted to his first start:
Moritz Bauer is the best player in the world— Liam Dey (@LiamDey) September 22, 2019
Bolingoli CSC 3-1 Killie— ★ K E N N Y ★ (@TheKennyScott) September 22, 2019
Bauer is looking class!! He’s fast and can’t half cross a ball to pick out a man
Great sticking it that lot! pic.twitter.com/mk9O81lxJq
Bauer seems like a good player— Empire. (@Colossal67) September 22, 2019
Bravo Moritz⚽️— FanofMoritzBauer (@BrigitteErnst) September 22, 2019
Bauer’s been brilliant— Dylan McAuley (@dylanmcauleyx) September 22, 2019
FT Celtic 3 Kilmarnock 1.— The Hunskelper... (@Hunskelper1967) September 22, 2019
Good performance created loads of chances. Usually Sunday lunch time games can be shite.
Bauer was decent on his home debut. Boli, McGregor, Forrest and Édouard all played well.
Buy Moritz— James A (@Bhoy_1988) September 22, 2019
Bauer looks very good indeed, finally have we got a good right back that can attack and defend ☘️☘️— Kevin Connolly (@KevRedCon) September 22, 2019
Bauer, a £5 million signing by the English club [The Daily Mail], was a touch fortunate to avoid serious injury after being on the receiving end of a Jordan Jones lunge against Rangers earlier this month.
So far, he looks a very tidy player and it's exciting to see how he gets on down the line.
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