We also have recycling bins where you throw in everything together and it gets sorted at the recycling station
But it’s also possible that the yoghurt lid got stuck to the box accidentally before the box was put into recycling

Over here in NZ we have all been instructed not to put container lids into recycling

I understand that some might be a different material than the container (glass bottles with metal screw tops) but that’s not a lot of extra effort to handle, and sharp lids cut with can-openers can be dropped into the cans and squeezed just a little to keep the lid trapped safely inside; they’re made of the same stuff yet we’re told to put them into the rubbish

I prefer to forget about the Middle East, Jeffrey Epstein, government corruption and other injustices and focus on the inefficiencies of recycling!