What was the USSR trying to spread during the cold war?

Answer 1

Basically, it was trying to spread "itself". By this I mean that the USSR was trying to spread it's own ideology, then called Stalinism (one of the many types of communism), which encouraged social revolution in all countries, so that workers would be able to fully enjoy the benefits of their production, as well as to contribute to the common good rather than to the riches of capitalist businessmen (Note: this differs little from the most basic form of ideal socialism, which is Marxism, but, in reality, Stalin forced many of the changes encouraged by this ideology through extremely violent & unethical means, thus making true Stalinism a form of totalitarianism, i.e, a Dictatorship). By doing so, the borders of the USSR, which divided it from other countries around it would eventually disappear, making the nation's overall territory progressively larger, giving it access to more people - more workers & citizens - and resources. Henceforth, it can be said that the USSR was basically trying to spread itself, as a nation and ideology, so as to, ideally, unify all of the world's peoples (although the means used threatened the security & interests of other countries, including the USA, thereby giving rise to the conflict that was the Cold War).

Answer 2

Because the USSR was a communist dictatorship. It was trying to spread Communism all over the world.