C182 pilot reported a loss of control while landing due to turbulent air and wind shear as the aircraft began the flair. The aircraft departed the pavement; hit a runway light; and stopped in the grass.

Narrative

Flight was from ZZZ1 - ZZZ. Planned for 4.5 in route. Along the route moderate to severe turbulence was experienced which cased the continuation of the flight at 7;500 feet. The decent into ZZZ was accompanied by intermediate moderate turbulence. I was established on a stabilized approach into Runway XX at ZZZ. and was aware of possible wind shear and moderate turbulence reported. IAS was at 100 knots with 10deg of flaps on short final. Speed was adjusted higher to accommodate and was aiming for 1000 ft. markings. Floating and wind correcting was applied. About 10-20 feet above the surface wind shear was indicated and full power was applied. The aircraft drifted right and continue to sink rapidly. The aircraft struck the runway and continued to bounce as directional control was still NA. The aircraft left the right side of Runway XX striking a runway light on the right main gear. The aircraft continued to travel through the grass between Runway XX and the taxiway. The aircraft rejoined the pavement near taxiway 1 and taxiway 2 were the aircraft came to a halt. Runway XX was closed and I was escorted by fire rescue to the FBO. On visual inspection damage was seen to be only the wheel pants of the right pilot side main. Further inspection will be needed.