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Constraining f(R,T) Gravity From The Dark Energy Density Parameter $Ω_Λ$

$f(R,T)$ 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 $f(R+2λT)$ to understand its coherency and applicability in cosmology. We communicate here a novel method to find an lower bound on the model parameter $λ\gtrsim -1.9 \times 10^{-8}$ through the equation relating the cosmological constant ($Λ$) and the critical density of the universe ($ρ_{cr}$).