having a blown head replaced my 6sp manual smokes extremely bad when under load

What is your question?

when city driving it seams to pour black smoke if over 2000-2500rvs between gears. the exhaust gets a thick sooty build up in a very short time.Excelerating up hills or over taking it smokes excessively. it seems to lack power and was wondering if the turbo not working may be the cause as it dosent seem to get very warm at all.