The model developed for LaMnO3 addresses the spin-orbital order by superexchange and Jahn-Teller orbital interactions in the cubic (perovskite) symmetry up to now whereas real crystal structure is strongly deformed. We identify and explain three a priori important physical effects arising from tetragonal deformation: (i) the splitting of eg orbitals ∝ Ez, (ii) the directional renormalization of d − p hybridization t pd , and (iii) the directional renormalization of charge excitation energies. Using the example of LaMnO3 crystal we evaluate their magnitude. It is found that the major effects of deformation are enhanced amplitude of x 2 − y 2 orbitals induced in the orbital order by Ez 300 meV and anisotropic t pd 2.0 (2.35) eV along the ab (c) cubic axis, in very good agreement with the Harrison's law. We show that the tetragonal model analyzed within mean field approximation provides a surprisingly consistent picture of the ground state. Excellent agreement with the experimental data is obtained simultaneously for: (i) eg orbital mixing angle, (ii) spin exchange constants, and (iii) the temperatures of spin and orbital phase transition. arXiv:1801.01419v1 [cond-mat.str-el]