Well then Tom, looks like it is the web site only, there is really nothing you can do. Just reinstall Vad_M's great skin and it should go back to the original search box designed for the skin.
I found the culprit ! It's not a graphic but the color that you change for alot of other things within the OS, one example would be Notepad.
Path: Change skin colours / Show me the skin defined system colours / Window Background
Might be on other places as well (seen that before, but maybe you know ?) but changing that color changed the search box color on web sites as well, as in the Nexus screeny further up. Was a bit tricky to get a matching color though, since the OS text is changed to light blue in Notepad so couldn't pick a to light color, since that would make it hard to see what one typing in Notepad if using it.
Just realized that it is actually the same color that changes the background color in the search box on Stardock Forum, if you clicking on the magnification glass up to the right. But, here the text color stays the same as within the OS and don't stay black, as it does on the Nexus site.
I very much appreciate you trying to help me Tom, thank you again !
Edit: Also same background color in the Karma when you give that, just saw that when I gave you some for your help !