公司最后给你的termination letter 你签字了吗?

你要跟他们说:
You cannot release the reason for my termination. In my future reference, you can only confirm my start/end date, title/salary. If you will jeopardize me from finding next opportunity, there will be some legal issue there.

你们的HR会懂的

至于你自己跟以后的公司,就说你是被lay off的.