Try adding quotes:
type %Destination%\buildInfo.xml >> "Logs\%Envlog% %Date% %Time%"
However, I don't think this will give you what you want, because this will end up as something like "Logs\logging.log 20131231 04:33"
Using this answer as a reference, you could do something like this (I didn't use the environment variable in this case, not sure you need it if the name is always going to be logging.log):
set hr=%time:~0,2%
if "%hr:~0,1%" equ " " set hr=0%hr:~1,1%
type %Destination%\buildInfo.xml >> Logging_%date:~-4,4%%date:~-10,2%%date:~-7,2%_%hr%%time:~3,2%%time:~6,2%.log