Just save your photoshop file with layers enabled.
to do this, just go to file-save as then in the dialog box, check “layers” instead of “as a copy.” When you open it up in FCP, it should have a sequence icon.
I finally solved the problem. What I did was I opened the recovered files in Quicktime and saved it as a self-contained video file. After that, the FCP can finally recognize it.
I already unchecked the same file name option. but when I use the same clip (the recovered one) fcp won’t use it though it has the same attributes as the original.