Kobo gets the book details from the metadata inside the book. As you mention calibre, set the metadata correctly in the library and then send the book to the device from calibre. The book will be updated with the metadata during the send. If, for some reason you want to manually copy the books from the calibre library directory, you need to use the Embed metadata tool in calibre to update the actual files with the metadata. The filename will only be used if the book has no metadata. And then the filename will be used as the title and "Unknown" (or something like that) as the author.
As to sorting and the Author list, Kobo uses a comma as the separator between multiple authors. So, "LN, FN" is considered to be two authors "LN" and "FN". And for sorting, "FN LN" will be sorted using "LN".
Kobo also doesn't use calibres author_sort. If you want to use this, you can use a metadata plugboard in calibre to tweak the metadata when sending the book to the device.
The way Kobo handles the author and sorting has been discussed a lot. Searching the forum should find the suggestions.
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