This is the 10190th most frequent Turkish word.
başvurmayan
"Başvurmayan" means "someone or something that does not apply."
Here, 'başvurmayan' means 'who do not apply' and functions as a participial adjective modifying 'adaylar' (applicants).
Başvurmayan adaylar değerlendirmeye alınmayacaktır.
Applicants who do not apply will not be considered.
In this case, 'başvurmayan' describes 'ekipler' (teams) as those who do not submit an application.
Projeye başvurmayan ekipler doğal olarak öncelikli olmayacaktır.
Teams that do not apply for the project will, naturally, not be prioritized.
Here, 'başvurmayan' is used to indicate 'students' (öğrenciler) who abstained from applying to school activities.