Hi @Zeshanbajwa
You write that if your wife gives birth in Portugal, this will result in a TRC card for her. Do you have a source for this information? Also that the child will get a passport after one year of birth?
From what I have read, the situation is the other way around. If a child is born to a foreigner with a TRC in Portugal, then the child is entitled to a TRC. On what basis will your wife be entitled to a residence permit in Portugal?
I have found this information on this website on the Portuguese government (in English via online translation):
https://aima-gov-pt.translate.goog/pt/viver/menores-filhos-de-cidadaos-estrangeiros-titulares-de-autorizacao-de-residencia-nascidos-em-portugal-art-122-o-1-al-a?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en&_x_tr_pto=wapp
I did not find any other permit from this list that may fit your situation:
https://aima-gov-pt.translate.goog/pt/viver?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en&_x_tr_pto=wapp
Asylum seekers are obliged to remain in Germany throughout the course of their asylum case. I cannot advise on the possible consequences of going to Portugal and applying for a residence permit.
Best,
Éanna