Interaction of divergence-free deceleration parameter in Weyl-type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si168.svg" display="inline" id="d1e758"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Q</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity

We study an extension of symmetric teleparallel gravity i.e. Weyl-type f(Q,T) and the divergence-free parametrization deceleration parameter q(z)=q0+q1z(1+z)1+z2 (q0 q1 are free constants) to explore evolution universe. By considering above parametric form q, we derive Hubble solution further impose it in Friedmann equations gravity. To see whether this model can challenge ?CDM limits, computed constraints on parameters using Bayesian analysis for Observational data (OHD) Pantheon sample (SNeIa). Furthermore, depicts accelerating behavior universe with present value q0 transition redshift zt (at which expansion transits from acceleration) 1?? 2?? confidence level. also examine energy density, pressure, effective equation state parameters. Finally, demonstrate that is consistent