On to your second comment: ‘For’ implies ‘promotion of’. If Fed Rep is actively encouraging immigration, the title is apt.
One of the first things you'll see on their pages is:
"If you gained your professional qualifications outside Germany and would like to use it in the German labour market then the Federal Office will be happy to advise you."
http://www.bamf.de/EN/Startseite/startseite-node.htmlIn fact, that sounds as if they encourage immigration. I'm less happy about the "migration" then (because which country encourages emigration?).
The of/for issue is a bit more complex than it may seem, e.g.,
http://english.stackexchange.com/questions/181093/use-of-or-...I quote: "For instance, Canada currently has a Minister of Foreign Affairs, but it used to have a Secretary of State for Foreign Affairs doing the same job."
And: "The UK has a Department for Transport; the US has a Department of Transportation."