In my head the former Cardassian Union is divided up into four. These quarters are then put under the control of the: United Federation of Planets, Klingon Empire, Romulan Star Empire, and Cardassian Republic (with the latter being closely monitored by the others). In these areas, the species responsible has to oversee relief and rebuilding efforts, stabilising the regions economics, ensure health care provision and preventing the spread of disease, coordinating refugees, essential supplies, and providing security and protection.
As mentioned, the Cardassian Union has been dissolved and replaced with the Republic, which has completely overhauled the political system, in order to make it fair, open and equal, with the Military being removed from its high standing within the government.
The military is under strict regulation, with caps placed on the numbers of ships built, and weapons facilities being made open for inspection and monitoring. Whilst what ships they had left after the war are concentrated on protecting their own small holding for the former Union, under their new flagship (the last Keldon-Class to be built before the end of the war) the Cruiser Damar
The regions economy is in shambles, millions are dead and billions more have been left homeless, without the necessary infrastructure needed to support them or handle even a fraction of reconstruction efforts.
All of this obviously leaves many despondent, depressed and wanting to give up, others want to rebuild a new society, and then there are those that want revenge and want to make it on their own without all the interferance.
Basically, the entire region has gone to hell and everyone in and around the former Union has a lot of work ahead of them.