What?
This is a composite
Where?
This should be placed in the general waste bin.
If a cup is certified as compostable, it will say so on the side, it can be placed in your food waste [brown] bin at home, be sure to check the lid because it may not be compostable.
General Comment / Tip
Once clean and dry the lids and sleeves can be placed into the recycling bin but why not get a reusable cup for hot or cold drinks on the go. Alternatively sit & sip your favourite beverage from a regular mug or cup.