How to remove name of channel / subscribe button from YouTube shorts added to WP homepage?

You can't remove the Youtube branding. Use a service like Vimeo - their plans are relatively cheap and allow you to removal all player branding.

May be u can share the urll so we have a better view to give solution

Do you mean you embed the videos from YouTube? Or you download them and uploaded the file to your WP site?

There was modestbranding parameter but is deprecated now. https://developers.google.com/youtube/player_parameters#modestbranding

There are some workarounds like stretching video vertically and then wrapping it in container with specified height and disabling overflow, but I don't think that's worth the time...