^^ they are not F***ing with you.
For once they have been considerate and have made it easier for you.
EID is the number you get when you apply for Aadhar at the enrolment centre.
It is proof that you have applied for Aadhar.
So basically the DGCA is saying that all you need to do is prove that you have applied for Aadhar card, even though you may not have the card itself yet.