Text wrapped around a toroid (tire)

THAT'S something I haven't seen.  In the Solidworks jpg, it's not even a toroid, it's not a "developable" surface in any way, making that much more difficult.  You can't develop a toroid either, but this is even more difficult.  This must be a new software feature.

Do you have access to the model or even know where the model is?

You should be able to do what it seems you want with a toroidial bend or spinal bend.  Impossible to tell exactly what you want without a picture of some sort.

That looks like a wrap on a doubly curved surface, which Creo unfortunately can't do. It's going to be a challenge to do it in Creo. I'd try copying the surfaces, if necessary cutting open the quilt with a Trim command, then do a Flatten Quilt, add the text, use Designated Surface to make the text into a surface, then morph the text with Flatten Quilt Deformation. Then Thicken.

EDIT: Just tried it on a test model. Worked like a charm until the Flatten Quilt Deformation, which just gave me a feature failure. Creo's maths couldn't handle it, I guess. 😕