Dear @Danidyan,
Welcome to the Wefugees Community and thank you for reaching out to us. Unfortunately, it is hardly possible to predict the chances of an asylum application without knowing the situation and the background of a person in detail.
However, as far as I know, the recognition rate for applicants from Lebanon (in Germany) are really low - in spite of the very difficult living conditions in Lebanon. However, as spouse of a German citizen you may apply for family reunification. This should also be possible when your German wife lives (and works) in the Netherlands. Please let us know if you want more information on the family reunification visa and the respective requirements.
In general, applying for asylum at a German airport (i.e. in transit) is possible. But please be aware that you may end up in the so-called airport asylum procedure (in which you wouldn’t be able to leave the airport until the decision on your application is made - this happens usually within a few days).
In any case, please don’t hesitate to get back to us if you want to discuss your situation in more detail or if you have any further questions.
All the best,
Meike