thank you for sharing your question with the wefugees community. If you rely on social grants, the respective office (Jobcenter if you are a recognized refugee or Sozialamt when you are still in the Asylum process or having Duldung) is responsible to support you with either money or equipment (depending on the office/ area you are staying in) if you haven't received money for furniture/kitchen equipment in the past. It's the governments job to provide you with these necessities, so ask for it (It's only done by application (Antrag). Nevertheless, you are free to ask welfare organisations like DRK, Diakonie, AWo, Caritas, too,..
I hope my answers were helpful and I would be very happy if you would contact me again with further questions. I'm a consultant with mbeon and I‘ll be glad to help you over a longer period of time. Mbeon is an online advice for migrants via the mbeon app, which you can install on your smartphone for free. Download it from App Store or Google Play Store. You can find me in the mbeon app and get confidential individual advice in a secure virtual space without other people reading our conversation. Further information: www.mbeon.de.