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

$f(R,T)$ gravity is a widely used extended theory of gravity introduced in \cite{9} which is a straightforward generalization of $f(R)$ gravity. The action in this extended theory of gravity incorporates well motivated functional 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 and applicability in cosmology. We communicate here a novel method to find an lower bound on the model parameter $\lambda \gtrsim -1.9\times {10}^{-8}$ through the equation relating the cosmological constant ($\mathrm{\Lambda }$) and the critical density of the universe (${\rho }_{cr}$).