For example, the contribution made by Aristotle or Newton is written down into the history of mankind and will stay there forever, even though there are only very few people who read Aristotle or Newton now. But each next stage of evolution is dependent on the preceding stages. The acts contributing to evolution create structures which will outlive the actors and determine the structures that follow. In this way, they are eternal. Those acts which go against the plan of evolution will be drowned in chaos and erased from the memory of the world.
Evolutionary immortality is the immortality of deed.
The deeds of mortal men may be immortal. You can say that this evolutionary immortality is rather pale, not real. But it is quite real, especially for imaginative and creative people. For creative persons it is important that their achievements are known and used, i.e. that they make a difference, and in this way stay forever. It may become more imortant than life itself.