The Northern Irish champions have launched an investigation but Brown looked to play down the incidents.
The Bhoys striker was regularly the target of Linfield's fans, in the Scottish champions' 2-0 Champions League second round qualfying first-leg victory, as he took corners for Rodgers' men.
At full time, the 26-year-old tied a Celtic scarf to one of the posts in a gesture which angered the home support further, and Sutton believes he was "out of order" and diminished the fact that Griffiths was booked after removing the missles from the pitch. I could only see what I saw from the dug-out.
Asked whether he was concerned during the game, Rodgers said: "I didn't see or haven't heard as of yet what was thrown on". You sometimes get these scenes throughout the country, not just here but other places as well.
"As you know Celtic never took the tickets and it would have been nice to see more of them there".
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"The talk is more on the football and for us the score line is okay". It was maybe a bottle of some sort, but anything, whether it's a coin or a bottle or whatever, it shouldn't happen.
Nevertheless, credit must also go to the Blues' backline, who put in a committed defensive display to help ensure the scoreline remained respectable. "It could have been better but it gives us an advantage for the second leg".
Benyu was a stand-out for the Hoops in his first run out at Celtic Park, despite the defeat to Lyon and Rodgers said: "Initially the plan was to have him in, thinking he can get an idea of how we work at the club and then go on loan".
While veteran Northern Ireland worldwide Roy Carroll was forced into a number of smart stops in the home goal, there was a sense that the Brendan Rodgers' team rather took their foot off the gas after going 2-0 up with 22 minutes.
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