Was the manure that you added 'fresh', or was it already 'aged?
That would make a huge difference.
If it was aged, it would not reheat the pile. Just adding finished manure to finished compost.
If it was fresh,
and your existing compost was already 'finished', there would not be
enough carbon matter in there to create a 'live mix'.
There comes a time when compost must be used. You cannot just keep adding to it, else it will become a life long
project that will never end. Even if it is not 100% finished, the process is still going on, and if you add it to your soil, the soil microbes will delight in the opportunity to finish the job for you. Don't forget that many people just turn green material directly into the soil...nature has a way of handling decaying matter...you can either add it raw, or finished...either way, it will
feed your soil food web.
Hope that this helps.