Thank you for sharing your question with the Wefugees community!
Why would you want to cancel your asylum case before the marriage is registered? In my opinion, it would be safer to take back the asylum application in favor of a residence permit as a spouse of a German citizen after the marriage is officially acknowledged here.
In general, marrying in Germany is not dependent on the status. You may want to check our blog on this topic (https://wefugees.wordpress.com/2018/04/20/heiraten-in-deutschland-how-to-marry/) for more details.
Please do not hesitate to get back to us if you want to discuss your case further!
All the best,
As one of our experts explained recently in a very detailed way: A registration of a marriage in that sense is only possible/necessary if one of the spouses is German. Please have a look at the following thread for more information: https://www.wefugees.de/806842/working-studying-germany-pakistan-register-marriage-germany.
If I understand you correctly, you handed in a so-called "Umverteilungsantrag" at the "Ausländerbehörde" already? To support that application, you should definitely give them a copy of your marriage certificate also.
In any case, your situation sounds quite complicated to me and I would recommend you to seek further consultation in a migration counselling office or via the mbeon-App, for example. Taking back an asylum application should be carefully discussed with an expert.
Please let us know, if you need support on finding a counselling office or if you need more information on the mbeon-services.