Here's how it used to work:
Say you move a group of items, after finishing the original move and no command is no longer active, you realize you need to move the items again. If you iniate the move command again, when the "Select Objects" instruction is active, you can simply type "P", which is short for "previous", and it should select the previously moved items that you want to move again and you can continue as normal.
I know that in the older versions of ACAD (2009 and prior) this worked great. I am using 2012 now and it just does not seem to work right, although sometimes it does. This also works with commands like trim, stretch, erase, etc. Hopefully this helps.