When you apply CC Cylinder, layer width turns into the cylinder circumference. What does that mean for you? You need to increase somehow your text layer width so that the title occupies lesser segment in the resulting circumference.
Precompose your text layer. Apply CC Cylinder onto the precomposition. Play with the precomposition width (e.g. double it) until you get desirable look.
Create a new comp. Put your logo inside the Comp. Nest that comp in your production comp and apply cc cylinder. If the logo is too big, go back to the pre-comp and make it smaller. Then adjust the radius and you are done.
This post was mangled by my thumbs.
Since adjusting CC Cylinder radius distorts image (font), you need to jump back to the precomp and tweak Scale X or Scale Y (font Horizontal Scale or Vertical Scale) accordingly.
What derives from here is in case of a text layer you don't actually have to precompose it. You may also tweak text layer Scale X (Scale Y) or font Horizontal Scale (Vertical Scale) after resizing CC Cylinder radius right in your master comp.