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In this work, we obtained analytical bound state solution of theSchr\"odinger equation with Manning Rosen plus exponential Yukawa Potentialusing parametric Nikiforov-Uvarov method (NU). We obtained the normalized wavefunction in terms of Jacobi polynomial. The energy eigen equation wasdetermined and presented in a compact form. The study also includes thecomputations of partition function and other thermodynamics properties such asvibrational mean energy ({\mu}), vibrational heat capacity (c), vibrationalentropy (s) and vibrational free energy (F). Using a well design mapleprogramme, we obtained numerical bound state energies for different quantumstates with various screening parameters: {\alpha}=0.1,0.2,0.3,0.4 and 0.5. Thenumerical results showed that the bound state energies increase with anincrease in quantum state while the thermodynamic plots were in excellentagreement to work of existing literature.

Eigen Solution and Thermodynamic Properties of Manning Rosen Plus Exponential Yukawa Potential