Carrying incomplete research work from postdoc to assistant professor position I am a postdoctoral research fellow and recently I got offer for aP position. I am leaving the postdoc position before the completion of contract. My postdoc supervisor is saying that after joining the aP position whenever I publish the research work, which I started in his lab, should include funds acknowledgment of his lab and that he should be the corresponding author.  I worked in his lab for just 5 months and I already submitted to SCI journal articles in Q1 level. A week ago I shared my preliminary work which will take another 5-6 months to be ready for submission. In this case I will be spending 90% of time on this topic after leaving postdoc position, why should I add him as corresponding author and why should I add his dictated funding acknowledgment? Is it ethical to make such demands?
You should (indeed, I'd say you must) acknowledge any funding that supported any of the research reported in the paper.  If you (like me) are in mathematics, then you should list as co-author(s) whoever made a substantial intellectual contribution to the research.  If you're in some other field then you should follow that field's conventions for co-authorship.