Welcome to the Wefugees Community and thank you for your question.
We discussed a similar topic before in this thread - you may want to follow the link for more details.
From my perspective, you haven’t started the “Ausbildung” before the rejection of your asylum application. This doesn’t mean that you are not able to receive the so-called “Ausbildungsduldung” anymore. However, you may need to hold the “normal” Duldung for at least 3 months before you can apply for the Ausbildungsduldung.
Dear @mbeon-Christine, do you agree with me and/or do you want to add any information?
@Mp: In any case, don’t hesitate to get back to us with any further questions.
All the best,