Hi @hieptran, welcome to the forums. Have you tried using Lunr search queries to narrow your search results? See the documentation here: https://bitwarden.com/help/article/searching-vault/. It’s a bit of extra typing but it looks really powerful and flexible.
For example, in your situation, you could search for >+name:*gmail* +my_name. This would return all logins that have gmail in their name (wildcard match) AND which have my_name in any of the indexed fields (exact match). You could make the search wider or narrower as you like. Would this solve your issue?