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This paper investigates the existence and stability of Einstein universe inthe context of $f(R,T,Q)$ gravity, where $Q=R_{\mu\nu}T^{\mu\nu}$. Consideringlinear homogeneous perturbations around scale factor and energy density, weformulate static as well as perturbed field equations. We parameterize thestability regions corresponding to conserved as well as non-conservedenergy-momentum tensor using linear equation of state parameter for particularmodels of this gravity. The graphical analysis concludes that for a suitablechoice of parameters, the stable regions of the Einstein universe are obtained.

On the Stability of Einstein Universe in f(R,T,R_{\mu\nu}T^{\mu\nu}) Gravity