Hi visual-summer,
Splines can be exported via Alembic. Please note: Bezier will be converted to Linear, for example. This means the interplate settings become important.
When you cache the new Particle System, it uses Alembic as a format. Have you tried this route?
If you have questions about Unity, that would be best in the Unity Forum, or as I did, I googled it, and it tells me that Unity can use Alembic Particle data to feed into their particle system. I have not done it, so please check with Unity Documentation or the usual forums, as I have not. When I answer, typically, I have done it with the current installations as things change, and answering from memory has not shown a winning strategy over the past decades. Hence, my suggestion is to ask artists who do this daily.
If we get more questions from more artists about Unity, I'm sure the tutorial content can be updated faster. There have been very few requests lately about Unity, even though we introduced the Cineware plug-in four years ago.
https://www.maxon.net/en/article/maxon-announces-cineware-by-maxon-plug-in-for-unity-technologies
The industry uses Unreal, especially since the strong rise of LED Studio productions.
You have an educational version; what is your department's support of this project?
All the best