Yes. They should request the original photo document you presented, copy the front and back of the document (in the case of a U.S. passport, copy the ID and barcode pages), and retain it with your Form I-9.
E-Verify participants must retain a photocopy of the following documents with an employee’s Form I-9:
- U.S. passport
- U.S. passport card
- Form I-551, Permanent Resident Card
- Form I-766, Employment Authorization Document