I am not familiar with the QC35 but the fitted 3.5mm plug with 3 'rings' and a tip connection (left and right audio plus mic plus ground) will be connected to the 3.5mm stereo socket (I assume) to 1/4" stereo jack adaptor.. The adaptor is one connection short.
A probe around with an ohm meter will reveal the problem.
I assume that the 1/4" socket is a '4 pole' type, so it looks as if the adaptor needs to be swapped for a 4 pole type. I have just had a quick trawl around but cannot find anything. If all else fails you may have to cut off the 1/4" socket and fit a 3.5mm 4 pole socket, which would be neater and more reliable anyway.
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