Dynamics of a parametrized dark energy model in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e316" altimg="si9.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity

We investigate a flat FLRW-model in $f(R,T)$-gravity, which includes the quadratic variation scalar curvature $R$ and linear term of trace stress-energy tensor $T$. In turn, we establish model has behaviour late time Universe, is accelerated expanding ends up big rip. Using parametrization scale factor $a(t)$, propose model, begins with point-type singularity, i.e., starts point zero volume, infinite energy density temperature. The model's at present $\Lambda$CDM times. Finally, proposed behaves like quintessence dark consistent standard cosmology