Hi,
B97-D has explicitly been re-parametrized, and B97 is not implemented in Turbomole. You have to add $disp to the control file also in case that you are using B97-D!
The functionals b-lyp, b97-d, b3-lyp, tpss, b-p, pbe, and b2-plyp-d are supported by DFT+D. You just have to add $disp to the input file, the name of the functionals themselves does not have to be changed.
Regards,
Uwe