I have recently completed a post-doc and am currently unemployed. However, I am doing the same activities as before, mostly writing and publishing papers that resulted from my postdoc. Obviously, I am not getting paid and am not under contract from my previous institution. I am also doing some freelance work, just a few hours a week, for a private company which is however not known in academic circles and is a very small company. So I don't see any large benefit in listing myself as a freelancer for such company. Just listing freelancer people might be wondering what kind of freelance and it would not make sense for academics.
What are my options to show that I am still active in research and that it makes sense for academics reading my CV in a grant application?
Should I list my current position as a "consultant" for my ex-institution? People know that there's not such thing in academia and might be wondering and why I am not a "post-doc".