Ok, so looking into this a bit further… VariableType.h is generated by tools/autograd/gen_variable_type.py. Which is utilized the caffe2 CMakeList.txt.
Reading through the caffe2/CMakeList.txt, it appears that for VariableType.h to be generated the Build_Mobile_Autograd must be set ON. (An in development option)
With the NO_API set OFF and BUILD_MOBILE_AUTOGRAD set ON VariableTypes.h is generated and the build succeeds… however the nn namespace is still not included… and now have new errors when trying to use the built library…
Undefined symbol: torch::jit::ExportModule(torch::jit::Module const&, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > const&, std::__1::unordered_map<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> >, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> >, std::__1::hash<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > >, std::__1::equal_to<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > >, std::__1::allocator<std::__1::pair<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > const, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > > > > const&, bool, bool)
Undefined symbol: torch::jit::ExportModule(torch::jit::Module const&, std::__1::function<unsigned long (void const*, unsigned long)> const&, std::__1::unordered_map<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> >, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> >, std::__1::hash<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > >, std::__1::equal_to<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > >, std::__1::allocator<std::__1::pair<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > const, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > > > > const&, bool, bool)
Undefined symbol: torch::jit::ExportModule(torch::jit::Module const&, std::__1::basic_ostream<char, std::__1::char_traits<char> >&, std::__1::unordered_map<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> >, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> >, std::__1::hash<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > >, std::__1::equal_to<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > >, std::__1::allocator<std::__1::pair<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > const, std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char> > > > > const&, bool, bool)

Anybody have any thoughts on this?