Cognomen Аверкій (Аверкій , Abercius ) , all around the world, is an extremely rare last name. Much more frequently, Аверкій is the forename as well as the last name.
Awerkiusz, Аверкий, and Оверкій
Можаєв, Андрощук, Соловйов, and Ковальчук
, Abercius 
) , all around the world, is an extremely rare last name. Much more frequently, Аверкій is the forename as well as the last name.