Can the landlord force to renew tenancy if you miss a few days of non-renewal notice?

We notified our landlord that we do not wish to renew our lease contract 75 days before its expiry date.

He told us we had to notify them 90 days prior therefore he will automatically renew the lease for one year.

After some back and forth, he said we must extend for four months and he will increase the rent for these extra four months.

We offered to pay for the days we missed in notifying and we requested to stay for 2 months extra with the same rate but he is refusing.

Our contract does not have a penalty clause if we fail to notify 90 days. What do we do?