We involve both of our kids in many things around our house that encourage them to be “green”.
Both of the kids are responsible for taking the recycling out to the cans every couple of days. They need to be reminded once in a while (since they are teenagers) but it is still their chore.
We also have some animals that they have to shovel manure from. They have to help, everyday, to scoop everything up and add it to the pile at the back corner of the property. Once it has composted down they get to help move it to the garden.
They also get to take food scraps out to the animals. Fortunately our animals eat almost any food scrap we have. What they do not eat goes into our composting bin in the yard; it too goes to the garden when ready.
Just treat the whole thing as just something the entire family does and they should participate, even if they really don’t like it.