What browser? No one else has reported this as an issue. Probably related to your browser and addons/extensions you have installed.
Chrome Version 80.0.3987.149 (Official Build) (64-bit)
Cookies enabled.
I installed the Trainer Manager and it's working. Do they no longer have a standalone search button on the website?
I am not 100% sure if I understand your issue, but on the top right corner when you scroll up there is a magnifying glass, click it and a search bar will appear below your "namebar"