Optical mice don't usually function correctly on these types of surfaces:
The problem with glass is that the light passes through and doesn't reflect back to the mouse, so the mouse can't detect movement.
The problem with wooden surfaces (at least for the unfinished or non-smoothed materials) is that the light reflects in unexpected directions, due to the inconsistency of the wood fibres, and so the mouse can't detect the movement accurately.
The types of mice that work better on these surfaces have a ball instead of an optical sensor. If Logitech isn't producing a current wireless-with-ball model (I couldn't find any on their web site that are wireless, although their sales team may be able to help you with this), you may be able to purchase a used model from someone through a web site like eBay -- when wireless mice were new, optical mice weren't on the market yet (or at least they weren't popular due to fairly high initial pricing) as I remember, so these models do exist (I also remember using one many years ago).
Pictured above is Logitech M-RN68 Cordless Mouse featuring a PS/2 connector and a ball (as opposed to having an optical light and sensor). More information, including specifications, are available on this web page: http://www.tcocd.de/Pictures/Peripheral/Logitech/mrn68.shtml