Please navigate to Dashboard > Forums > Settings > Styles admin page, put this CSS Code in Custom CSS Code textarea, save it, delete all caches and press Ctrl+F5 on forum front:

#wpforo #wpforo-wrap .wpf-search input[type="text"].wpf-search-field {
     background-color: transparent; display:inline-block
}
#wpf-widget-search .wpforo-widget-content input[type="text"]{
     display: inline-block;
}

Thank you! That fixes the position! When you click the search icon the bar doesn't turn white and you can't see text as it's entered. Is that a problem with my color settings or is there another conflict going on? Thanks

Please add this CSS code as well. Don't forget delete all caches and press Ctrl+F5 on forum front after adding the code.

#wpforo #wpforo-wrap .wpf-search input[type="text"].wpf-search-field:focus {
      background-color: #FFFFFF;
}