Active Directory: see users of servers that are members of a trusted domain

A unidirectional forest trust is created between 2 domains, where domain B trusts domain A. Users a / c in domain A have been completed in the domain local group (DLG) of domain B.

However, Domain B member servers can not see Domain A user names in the Domain B DLG. Instead, member servers can only see external principal names (also known as SIDs) in the Domain DLG. Domain B.

Can Domain B member servers see the easy-to-use names of Domain A in the DLG of Domain B? If so, can I know how to do it?

Appreciate your orientation. Thanks in advance.