The internal process used to determine the outcome of most appeals has changed. Due to this change, it is very unlikely that game bans will be able to be appealed more than once. For this reason, you should make sure that your first appeal is well thought out and presented.
For temporary bans, the outcome will generally be to remove the ban, to reduce the ban, or to maintain the ban. For indefinite bans, the outcome will generally be to remove the ban, to reduce the ban, or to upgrade the ban to a voucher ban, which can only be appealed with a voucher of good behavior from a well know SS13 or SS14 server. Vouchers are challenging to acquire, players who are voucher banned are rarely able to present an appeal with a voucher.
The template that appeals must use is available in the pinned post titled "Ban Appeal Template (READ BEFORE POSTING)", which you should read before posting.