Last name Acossta (Acossta 
) , globally, is a very rare family name. The cognomen Acossta is characteristic of Latin America and the Caribbean, particularly Colombia, where it is a very rare surname, Mexico, where it is an extremely rare surname, and Argentina. Measured by absolute frequency, it most frequently occurs in Colombia, Mexico, and the United States. Much less frequently, Acossta is the forename as well as the last name.