My question involves landlord-tenant law in the State of: New York City, New York.

My lease is up in 8 months but I was laid off and have to move back home in another state.
So I notified the landlord with a month notice.

They said I can break the lease and find a new tenant but I will be responsible for the rest of the term if the apartment remains vacate.
I have found a couple people but the landlord was non-responsive and very slow in approving them, those people decide to find another place.

The clock is ticking now (I have less than 3 weeks to find a new tenant), I don't know what to do.

If I don't pay for the rest of the term, they are probably going to sue me.
but can I appeal that they haven't make an effort in mitigating their damage?
What kind of evidence do I need?