  With the aid of an improved short-range approximation, the bound state
energies and the scattering phase shifts for a Hulth\'en- type potential plus
Yukawa potential are calculated within the framework of Nikiforov-Uvarov and
standard methods, respectively. Our numerical calculations show that the
presence of Yukawa potential has a significant influence on bound state
energies and the wave number-dependent phase shifts for any arbitrary values of
the screening parameter {\alpha} and angular momentum l.
