Is there a way to search for specific videos in my like playlist on my account?
Quickly search and filter through the items in a playlist (like watch later or favorites). Search includes the title of the video and the user it was uploaded by. It will hide/show the playlist items as you type, empty the text box to show all items.
If you don't know how to install user scripts, see this helpful guide
When I search for specific videos on youtube i go to:
Settings -> (under the category LIBRARY) -> Liked videos.
That should give you your liked videos.