I have a Gyration RF keyboard. I just got a Gyration RF mouse (to replace another brand of RF mouse I was previously using). The new Gyration mouse will not connect. I have charged it for days, however the lite on the bottom of the mouse is RED. When I put the mouse receiver into the USB port, Windows 7 tries to install the driver, but fails. When I try and connect the mouse to it's receiver it doesn't connect. The mouse doesn't work.

SOURCE: Gyration keyboard goes to sleep too quickly and then....

This sounds like an internal failure on the keyboard. It should not go to sleep. By removing the battery you are effectively resetting the internal logic. If the status light is on all of the time it may think it has (or have) a key stuck and is timing out to conserve battery life. If that is not the case it is time to contact Gyration Technical Support.

SOURCE: labtec ultra flat wireless desktop usb mouse & keyboard problems

im having simular problems but manage ome times by tapping caps lock,scrol lock and num lock from the momment you pc starts till the caps lock majes a noise, then i know its working, if mouse starts mocing slow and not clicking it is your batteries, got me mad this has and dunno how i aint smashed it lol

SOURCE: dropped keyboard

Instead of seeking repair replacing keyboard is your best bet. The mouse should work as long as you can plug in the receiver to the computer.

SOURCE: Labtec Wireless desktop 1200 not working- win xp sp2

Seen to be a problem with power manager.
On Linux the solution what

echo -1 >/sys/module/usbcore/parameters/autosuspend

I find it here:
http://www.linuxquestions.org/questions/linux-hardware-18/usb-error-usb-2-4-device-descriptor-read64-error-71-643022/

SOURCE: gyration wireless keyboard not working

did you set this up with your regular mouse?