as far as I know, lauda air austria is basically owned by austrian airlines and lufthansa, with a minor stake with founder niki lauda, while lauda air italy S.p.A. is owned by the lauda foundation(niki lauda) and some italian investors.
there used to be a lot of cooperation going on between lauda air and lauda air italy (a few years ago there was even a lauda air/lufthansa cooperation from MXP to european cities).
does anybody know, if there is still some form of cooperation between the star-alliance owned lauda air austria and the lauda owned lauda airs S.p.A., as there has been some disagreements between niki lauda and austrian airlines, which resulted in lauda leaving the company he founded with anger.
if there are also some problemes between lauda air italy and lauda air austria, it will be interesting to see how lauda air italy handles this situation, as they basically just lost their parent company.
PS: it is a little confusing, but I hope you do understand my question.