Who is responsible?
You have to do your asylum process in another EU country if it can be proved that you were in this other country. This can be proved if you have a Visum for this country, if you have made an asylum application there or if your fingerprints were taken there. The BAMF can also prove that you were in another country if you have, for example, train tickets or photos from another country.
You can appeal against the rejection within one week. The appeal, together with an emergency appeal to prevent the deportation being carried out before the actual appeal has been decided, has to be lodged at the administrative court. If you are too late doing this, then you have no chance afterwards.