Air carrier Flight Crew reported GPWS warning on approach to landing.
Synopsis
Air carrier Flight Crew reported GPWS warning on approach to landing.
Narrative
We were on Short final Runway XX at ZZZ. The ATIS was reporting WINDSHEAR ADVSRY. We were experiencing a mostly steady crosswind that was decreasing in magnitude as we made our descent. I was the Pilot Flying and upon disconnecting the autopilot at 500 ft.; I immediately started to drift above glideslope. In correcting; I over compensated; resulting in GPWS Alerts 'SINK RATE' 'GLIDE SLOPE' and 'PULL UP'. By this time we were in the runway environment; with what seemed like good corrections; slightly low on glideslope over the threshold. Thinking as I entered the crosswind flare I had made good corrections; we touched down in the Touchdown Zone safely. After landing we realized we should have executed a terrain avoidance maneuver with the Pull Up Warning.I was not prepared mentally to see that Warning in that context. I was more anticipating a Windshear Alert in that scenario and was surprised at the Pull Up Warning. I hesitated and followed through with the landing when I should have executed the terrain avoidance maneuver.
Second reporter narrative
FO (First Officer) received a glideslope and Sink Rate Caution on final during a turbulent visual approach. As he was positively correcting; I saw a 'PULL UP' flash in the HGS; and then it was gone. I was waiting for the aural pull up cue; but it never came. I allowed the approach to continue because he was actively correcting the sink rate; and since there was no audio Pull Up Warning; I thought it was a momentary fluke of the system.After debriefing it; we decided on this report: Were we right in continuing; because there was no audible Pull Up Warning? We are not sure.
Source: NASA Aviation Safety Reporting System (public domain). Reports are voluntary submissions and are not verified by NASA.