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$f(R,T)$ gravity is a widely used extended theory of gravity introduced in\cite{9} which is a straightforward generalization of $f(R)$ gravity. Theaction in this extended theory of gravity incorporates well motivatedfunctional forms of the Ricci scalar $R$ and trace of energy momentum tensor$T$. The present manuscript aims at constraining the most widely used $f(R,T)$gravity model of the form $f(R+2\lambda T)$ to understand its coherency andapplicability in cosmology. We communicate here a novel method to find an lowerbound on the model parameter $\lambda \gtrsim -1.9 \times 10^{-8}$ through theequation relating the cosmological constant ($\Lambda$) and the criticaldensity of the universe ($\rho_{cr}$).

Constraining f(R,T) Gravity From The Dark Energy Density Parameter $\Omega_{\Lambda}$