Azerbaijani manat 

thanks, Ingrid, for your question, there is nothing wrong if you can see both Azerbaycan manati and manat, that is Azerbaijani language is an agglutinative language, all processes in our language goes by adding suffixes to the words, thus when you say Manat of Azerbaijan, you say Azerbaycan Manati that is that ı is a suffix, which indicates that Manat in this case means that it belongs to the word Azerbaijan. but the name of currency is Manat, as the same you can say Turkmenistan Manati in oreder to indicate that the word manat in this case refers to Turkmensitan
it is a more complex, I'll try to explain it by example:
my manat - mənim manatım
your manat(sing) - sənin manatın
her/his manat - onun manatı
our manat- bizim manatımız
your manat(pl) - sizin manatınız
their manat - onların manatları
that is you can meet many forms of manat with various suffexes, but they do not change its meaning, just relate that word with other words. also you can see manata, manatda, manatdan and etc. hope not bored you