Two possible approaches:-
Get in touch with Biffa as they damaged it.
Complain to the council that the bin they provided wasn't fit for purpose. Assuming you didn't buy the bin then you could also point out that it is NOT your bin, it is the council's bin (how can it be yours if you never formally took possession of it)
They replace damaged grey bins free but charge £24 for replacement green bins.
Biffa might back down but I can't see the council doing so.
In a time of universal deceit - telling the truth is a revolutionary act. George Orwell
When the debate is lost, slander becomes the tool of the loser. Socrates