Well, do you need an illustration that will be both the trademark of your organization and a print for t-shirts or do you need it already applied to the t-shirt?

yes it will be a brand and the primary theme for t-shirts, and other advertising. Each t-shirt or other item will have a middle child phrase and the brand will be visible.

Can you provide your logo?

Whst you are designing is the logo

Oh sorry, I thought you were asking an illustration design for t shirt.

Yes it will be the primary trademark The T-shirt is just one of the uses

Did you want any text with the logo? Or just the logo by itself?

together, text and logo.