There are probably as many answers to that question as there are people who have been excommunicated from The Church of Jesus Christ of Latter-day Saints.
Mormons believe that “God is no respecter of persons” (Acts 10:34). He loves all of his children, regardless of when or where they were born. We also believe that baptism, and the covenants we make at baptism, are stepping stones on the path to salvation and exaltation.
Today there is a much more compassionate understanding of the mental and emotional turmoil that would lead someone to take his or her own life and there are no restrictions on funerals for those died this way being held in LDS chapels nor are there any other arrangements that would set them apart from other funerals.
The name "Mormon" for members of the Church of Jesus Christ of Latter-day Saints started out as pejorative used by detractors, similar to the label "Christian."