GreenBottles are designed so that after use they can easily be opened, the paper and plastic elements separated, and each disposed of appropriately:

Rip GreenBottle is ripped in two by pressing finger under the flap at the top, and pushing all the way down under the flap to open out the bottle. 
Remove The plastic inner can then easily be separated all in one from the paper outer.

The two separate parts of the bottle can then be disposed of; the paper outer onto a compost heap or into paper recycling, and the plastic inner into plastic recycling where facilities are available.