I'm not sure exactly as I haven't read it. But it might be about a character or a group of characters who are abandoned or left in a difficult situation related to the moon. Maybe it's a fantasy story where the moon has some sort of power and those forsaken by it are dealing with the consequences.
In fanfictions, their interactions are quite diverse. Snape and his dragon mate might start off with a bit of wariness towards each other. But as the story unfolds, they develop a deep bond. The dragon could take Snape on flights, allowing him to experience the world from a different perspective. Snape, on the other hand, might use his knowledge of potions to create special concoctions for the dragon's health or growth. They may also have silent conversations, just by looking into each other's eyes, a form of communication that is unique to their relationship. In some stories, they work together to overcome threats to the wizarding world, with the dragon's brute strength and Snape's magical intellect combining in a powerful way.
The 'cold war forsaken story' might refer to a narrative that focuses on the aspects of the Cold War that were overlooked. For example, it could be about the small, often unreported proxy wars that took place. These were battles fought in different parts of the world as a result of the power struggle between the United States and the Soviet Union, but not always in the spotlight. It could also be about the cultural and social changes that were overshadowed by the big political and military events of the Cold War.