White plumes of smoke from vw touran 2l FSI, Head has been overhauled, new piston rings and bearings have been done, has acceleration, but plumes of white somke still persist, what can we do?

black smoke --over fuelling, incomplete combustion
white smoke --too lean , water getting into the combustion chamber ( gasket)
blue smoke-- valve stem seal incorrectly fitted( old or worn,hard),oil ring failure, cylinder bore damaged, worn main/big end bearings overloading the oil ring,fauty pcv valve or EGR system

have the fault codes read to determine if any sensors are out of parameters from the engine rebuild. If you did not get a rebore and you used existing pistons the smoke may be from excessive ring clearance and worn ring grooves in the pistons . I am not a believer in wearing in as all wear only gets worse (not better) but in this case may be some normal use will allow the rings to reseal in the worn ring grooves over time

This is a sign the engine is burning oil. The oil id getting into the combustion chamber either by the waorn valve guides or via worn piston rings.
A compression test can determine if you have worn piston rings.
If you have worn piston rings then this is a major engine overhaul.
Worn valve guides is a minor engine overhaul.

From youe description the problem with this smoke (white/grey smoke) is oil getting into the combustion chambers through worn valve guides or worn piston rings. Worn piston rings can be checked by using compression tests on eash cyclinder.
Worn valve guides require the cyclinder head to be removed to replace valve guides.
Worn piston rings requires a major engine overhaul and in this case it maybe better to get a reconditioned engine.

White smoke is usually caused by burnt engine oil especially when accelerating from the stop lights. This is caused by either worn piston rings or worn valve guides. Worn pistons requires a major engine overhaul/rebuild or an exchange engine.

Did you have the head reworked with the motor cause it sounds like the valve seals are gone and letting oil leak back down.

General rules of thumb: Low speed engine on acceleration with smoke in the exhaust plume = worn piston rings High speed engine accelerating (spooled up turbo) with smoke = oil form turbo bearing and/or piston rings Engine on over run (coasting down, foot off the gas) with smoke = oil from valve guides. VW/Audi make good engines with tight tolerances so none of the above should apply at 62K miles; just make sure that the oil (the right oil) and oil filter are changed regularly.

WHITE SMOKE INDICATE SLIGHT HEAD GASKET.STOP SMOKING WHEN ENGINE GET HOT.HEAD EXPANDS ENOUGH TO STOP THE LEAK.BUT I SEEN CASES WHERE THE HEADS HAD TO BE PRE TORQUE AFTER ENGINE OVERHAUL.ALSO YOUR ENGINE WILL USE OIL UNTIL PISTON RINGS SEAT.SO KEEP EYE ON OIL LEVEL.

you're burning oil. Get a compression test done to it

I have toyota corona 3s engine it smokes black and fuel consuption is high we have changed the engine oil and cylinderhead gassecate but still black smoke is comming what should i do