ei-mata - in this way; paramparāya - by disciplic succession; deśa - the country; vaiṣṇava haila - became devotees; kṛṣṇa-nāma-amṛta - of the nectar of the holy name of Kṛṣṇa; vanyāya - in the inundation; deśa - the whole country; bhāsāila - overflooded.

By hearing the holy name of Kṛṣṇa, the entire country became Vaiṣṇava. It was as if the nectar of the holy name of Kṛṣṇa overflooded the entire country.