A319
Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Total 20000
Communication Breakdown; Situational Awareness
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural Published Material / Policy; Flight Deck / Cabin / Aircraft Event Smoke / Fire / Fumes / Odor
Flight Crew Overcame Equipment Problem
Human Factors; Procedure
FO (First Officer) was PF (Pilot Flying) and landed in TDZ (Touch Down Zone) on ZZZ Runway XX. After the '60' kts. callout during deceleration I came on to the controls with him and called 'my aircraft' (40-50 kts.). I did not recognize that the engines were in Idle Reverse; and after clearing the runway; I brought the aircraft to a stop awaiting taxi instructions from Ground Control. Once stopped we started getting light smoke in the cockpit and cabin (as notified by flight attendants). It was at this time that we realized the engines were still in Idle Reverse. I immediately pushed the power levers into Idle Forward Thrust and the smoke dissipated in a few seconds. I made an announcement reassuring the passengers as we taxied without incident. I was focused on making high speed taxiway with smooth but moderate deceleration and failed to realize the engines were still in Reverse Idle. My attention at the time was outside the aircraft. I normally give the power levers a quick push/pull to make sure they are out of reverse. I wish I could give a reason why I did not do it on this occasion. Some sort of 'Stabilized Forward Thrust' callout would definitely have helped.
A319 Captain reported not bringing engines to forward thrust after using reverse thrust on landing.