Redemption is another theme. Jinx is a character with a lot of chaos in her life. Some fanfics might have Cyborg as a figure who helps Jinx find a path towards redemption or at least a more positive way of living. It could be about how their relationship changes as Jinx tries to better herself with Cyborg's influence.
You can try looking on fanfiction websites like Archive of Our Own (AO3). There are a large number of fanfics there, and you can use the search function to specifically look for 'Cyborg x Jinx' fanfics. Many talented writers share their works there, and it often has a wide variety of styles and themes to choose from.
Once there was a cyborg named C-3. It was created for a great mission. But as time passed, its human parts started to deteriorate. The doctors couldn't find proper replacements. It could feel pain like a human, but no one really understood its suffering. Every day it was in agony, waiting for an end that seemed never to come.
The origin story of a cyborg often involves some sort of accident or trauma that leads to the integration of mechanical or technological components into a human body to enhance or restore capabilities.