  The holographic bound has been extended to the different theory of gravities
such as scalar-tensor gravity and $f(R)$ gravity according to the Noether
charge definition of the entropy for a black hole surface. We have introduced
some popular examples of the flat FRW cosmology in order to investigate
holographic bound in scalar-tensor and $f(R)$ gravity. Using the holographic
bound, we put an additional constraint on the scalar-tensor gravity and $f(R)$
gravity parameters. We also discuss about the transformation from Jordan frame
to Einstein frame.
