My understanding of what you are saying is that when sorting by author, the library view is sorted by "LN, FN" (contents of author sort) but the names are displayed FN LN. I assume this is a problem as it is harder to visually find what you are looking for, because the name sorted upon is not on the left of the author's column. You want to change calibre's options so that authors names are displayed LN, FN, making the visual display match the sort.
Assuming the above is correct, this is a very common request. Follow the directions in
http://manual.calibre-ebook.com/faq.html#id34, and in particular the directions in the grey box.
Some people go the other direction, keeping FN LN authors and changing the author sort values to equal the author, thereby sorting and viewing by FN LN. The majority seems to prefer default behavior, sorting by LN, FN but seeing FN LN.