Hey,
On our team, rather than putting our sponsors on our team shirts, we have Degrees of Sponsorship. The DoS outline various perks to sponsors depending on the amount (in-kind/monetary) they give us. For example:
Blizzard ($25+)
PowerPoint recognition at official season launch
Name on website
Name in NNSRIs Twelfth Chronicle 200 page yearbook style binder
Ice Cap ($1000+)
PowerPoint recognition at official season launch
Logo on website
Logo in Pit PowerPoint
Logo in Pit
Logo on robot
Logo in NNSRIs Twelfth Chronicle 200 page yearbook style binder
Recognition in Team Business Plan
North Pole $20,000+
PowerPoint recognition at official launch
Logo on website
Logo in Pit PowerPoint
Logo has dominance in the Pit
A member of your organization travels with the team to any selected event.
Name and logo/slogan on all sides of the packing crate
Link to your business on our website
Logo in NNSRIs Twelfth Chronicle 200 page yearbook style binder
Recognition in Team Business Plan
Naming of FIRST Robotics Competition (FRC) robot
(We currently don't have any North Pole sponsors)
Check out the full DoS here:
http://team1305.org/sponsors/sponsorship-degrees/
To sum up, although sponsors do a lot for your team and you want to recognize their contributions, there are many other ways to do it.