Dear @Refugee_Ingermany,
Welcome back to the Wefugees Community and sorry for the late reply.
Unfortunately, I can not share any experience regarding the waiting period for an "Umverteilungsantrag" (application to move to another place) in Lower Saxony (I assume you applied here?). I am afraid that the process may need several months. I hope other communtiy members can share some personal experience with you - even if I believe that it is not always possible to draw conclusions from one case to the next.
I hope that you receive a positive answer from the responsible authorities very soon!
All the best,
Meike