What are the requirements for a security/ counter- terrorism school to
have some of the students tuition funded by the US Department of
Justice (DOJ), Department of Defenses... and now Department of
Homeland Security?

I know the school has to be evaluated and certified, but how do you go
about doing it?

It may have something to do with the Nunn Ruger Domenici Act.

Other data:  The top schools out of the UK want to come here to the US
and teach the general public and first responders about terrorism. 
Courses are from the very basic to the most advance.  Unfortunately
many municipalities do not have the funding for this specialized
training and I thought that there might be federal financial resources
available somewhere.  Urgent, please respond ASAP.