Can i put climbing nightshade in the council recycling bags ?

we have the local council picking up green recycling weekly, is it ok to put climbing nightshade (bittersweet) cut up and put into the recycling bags, or if not what is the recommended way of disposal. this was planted about 5 yrs ago, but until recently it was not correctly identified, it is really quite a size, we will be cutting it down and digging the root out,
I would appreciate any advice on this, Thank you

 

I would, its only plant matter and I dont think there are restrictions on plants you can put in the garden recycling, apart from maybe Knot weed.
I assume we are referring to the specific garden recycling and not the general household stuff.

Any poisons, if that is what you are concerned about, will just break down in the composting process I would think.