Wireless mouse/keyboard won't wake sleeping computer

I had this problem too and I got it fixed.

1. Go to your 'Power Options' in your control panel.
2. To the right of your selected power type, click 'change plan settings'.
3. Then click 'Change advanced power settings'.
4. Scroll until you see 'USB Settings'.
5. Then click the + sign until you see a box with 'Setting' = Enabled. and Disable it.

DONE!

Check to be sure "Allow this device to wake computer" is enabled.

From control panel click on mouse.

In mouse properties click on the Hardware tab. Select Logitech mouse, then click properties.

Tick the check box "Allow this device to wake computer". Click OK

This should also be available for the keyboard if it is not set to wake the computer.

Worth a check anyway.

You can check the bios (by entering the magic key combo at boot) and make sure USB Wake, or a similar sounding option, is enabled in the hardware. It's not disabled by default but I think it gets disabled for power saving reasons.