The search bar appears prominently on the bdrc.io homepage. The new search interface functions somewhat differently from the one on tbrc.org. Unlike on tbrc.org, on the new website you must search using a particular top-level filter (Works, Persons, Topics, etc.). You can then select more specific filters to narrow your search on the results page.
The most direct way to access a text is by searching for its title, either the complete title or a snippet. Much like with tbrc.org, typing the name of the text into the main search bar will direct you to a list of matching titles.