My engine smokes after I had my engine redone

I need more info. Smokes from WHERE? From engine, or exhaust? What color is the smoke? Does it come and go? Is it just present at certain engine temperatures?
Can you observe anything leaking? Are you overheating? Are you consuming any fluids?

So, the cliff notes:
Engine could smoke initially, just from all of the handling, machining, new sealers, new paint....etc. This should subside, usually pretty quick Day or two, although odors remain longer. This is viewed as a non issue.
Smoke from exhaust. Blue is oil, not good. Typically you would be needing to add oil more often. Not good on this issue as something is wrong, somewhere. Major offenders are valve guides, and the piston/ring/cylinder relationship.

White smoke can be couple of things. Firstly, in absence of ANY issues, some white smoke, and some water can be observed. Not an issue. For every gallon of gas your burn, you produce a gallon of water. Most evaporates, but not all. Non issue.

Lots of white smoke, however, is not good. Antifreeze in the combustion chamber produces lots of white smoke, and smells sweet(er). This is not good, highest offenders are head gaskets (if it is determined a head gasket failed, remember it is NOT the gasket's fault. You must resurface (mill cut) the head or you'll suffer premature failure.) Sometimes heads crack, so pressure test the head(s) if you take them off.

So, as you can see, there are tons of possibilities and I need more information from you...

Doc

Rebuilt engine do not smoke if they have been assembled correctly. The problems are -- --the valve stem seals were not installed correctly or more likely that the rings are not in the right way. The compression rings have a position to be in and must be the right way up and the oil rings must be in correctly with no gaps lining up
If the rings have been installed with all ring gaps in line then the engine will smoke as the oil passes up the ring gaps and into the combustion chamber. If the oil rings are incorrect then the rings cannot control the oil and so the oil gets into the combustion chamber. If the compression rings are in upside down then the compression pushes the rings of the cylinder walls and the oil on the walls is burnt in the combustion chamber. Then bores should have been honed to produce a criss-cross pattern which makes the rings turn during running and if the bores were not bored true and over size rings and pistons fitted then the rings cannot keep pressure on the tapered bore and will allow oil to be burnt. If all you had done was a re-ring then you have wasted you cash as you have achieved nothing.