Five related threads on NVC and change of consulate merged together. Please keep ALL further questions regarding this in this thread only.
No, you can’t change it through NVC and public inquiry anymore. Once the case leaves NVC, that’s not an option. Now you will have to contact the consulate you want to change to (Lithuania) and they will have to request the case from Germany. I would also inform Germany about this. Prepare for a several month long delay. This will not be fast process anymore.