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The bay owls (Phodilus) are a genus of Old World barn-owls. The defining characteristics of bay owls are their smaller bodies, in comparison to other barn owls, and their U- or V-shaped faces.

 The name is from the Ancient Greek phos for "light" or "daylight" and deilos for "timid" or "cowardly".

1/ Oriental bay owl (Cú lợn rừng, Phodilus badius)

badius in Latin meaning reddish brown, chestnut colored, bay 

Tyto is a genus of birds consisting of true barn owls, grass owls and masked owls that collectively make up all the species within the subfamily Tytoninae of the barn owl family, Tytonidae.

1/ African grass owl (Cú lợn đồng cỏ châu Phi or Cú lợn lưng nâu, Tyto capensis)
2/ Barn owl (Cú lợn lưng xám, Tyto alba), also known as the common barn owl

Barn-owls (family Tytonidae) are one of the two families of owls, the other being the true owls or typical owls, Strigidae.

Strigiformes: All Owls are classified as members of this order. 
The name is formed from "Strig", the plural form of the Latin word "strix", meaning "owl", and "formes", meaning "forms".

Strigidae: The family for all Owls except Barn Owls, derived from "Strix", a Latin word for owl (also the same in Greek)

Tytonidae: All barn owls are members of this family. The name is derived from the Greek word "tuto", which means "owl".