#Terror
Terror
Send 10 000 of your most loyal citizens in Evil Empire. Give them spy training, documents and whatever they need to not arise suspicion. When war will begin they should start terror strikes: shoot up the schools, blow up the hospitals, spread poisonous chemicals in public transit hubs...
They should leave evidence pointing to reason for their strikes is Evil Empire attacking our homeland. Preferably they should do this in the way so it would be impossible for goverment to suppress information.
Strikes should be made en masse: 1000 per day is fine. You do not want to spread them too much to avoid EE uncovering your agents before attacks.
If each agent kills at least one person, it would already accomplish your goals. Everything else is a bonus helping in swaying public opinion faster.