This is a composite
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.
The lids and sleeves can be placed into the recycling bin. Why not invest in a reusable cup and use this for drinks on the go or alternatively “sit & sip” your favourite beverage.