You need to complete a Reputation first, before you can craft a Reputation Sponsorship Token. You then give that Token to another character of your, so that it can then turn it in.
You obtain a reputation sponsorship token by reaching T5 on said reputation on a different character. This then enables them to fill a project with 100 of the reputation marks for the token which is then sent (via mail/account bank) to the character of choice.
Sounds like right now this isn't something you can do, so I recommend not thinking about it.
You will have the choice between running a daily and a 3 hourly project for reputation. How you do this is up to you. Usually 1 daily project will give you enough reputation to move from Tier 0 to Tier 1. This is entirely up to you to manage.