as Ningfei said, sorry for the outdated manual.
We used to have a proper “macaque toolbox” in the past but now generalized the workflow in lead-dbs to be (in theory) able to work in any stereotactic space you want. One could even easily add a mouse or rat space (although I think noone did that, so far). The macaque space we provide (via web-download from within the space menu in Lead-DBS) is the macaque MNI space. [You could more or less easily add a custom macaque space if you prefer so.]
So as Ningfei said, you can download the macaque MNI space from the space menu. Now we both don’t do any macaque research and probably can’t help much with macaque-specific questions. Officially, the group of Béchir Jarraya at Neurospin in Paris use and support the macaque part of Lead-DBS (you could mail to Jordy Tasserie for questions).
Hope this helps and hope it works!