Terrorist groups like JeM and LeT are trained, funded and equipped by the Pakistan army. The Pakistani army provides covering fire to them when they try to infiltrate into India. Heck, the very fact that Pakistan tried to retaliate for an attack on - by their own admission - a JeM training camp shows that Pakistan feels as responsible for them as for their own military.

Despite Pakistan's claims to the contrary, they are hardly non-state actors.