Varash, previously known as Kuznetsovsk from 1977 to 2016, is a city in Rivne Oblast, Ukraine. It hosts the administration of Varash urban hr…Varash, previously known as Kuznetsovsk from 1977 to 2016, is a city in Rivne Oblast, Ukraine. It hosts the administration of Varash urban hromada, one of the hromadas of Ukraine and Varash Raion, one of the raions of Ukraine. Population: 41,711.