The graphic is not correct for Louisiana. You must have a photo ID to vote electronically and have that voted counted at that time. If you do not have a photo ID, you then have to produce a non-photo ID and also sign a sworn affidavit that you will return with a photo ID before your ballot can be counted at the end of the day. So if you have no photo-ID or you don’t return with one by 8 pm, your ballot is not counted.
Louisiana law §18:562:
Each applicant shall identify himself, in the presence and view of the bystanders, and present identification to the commissioners.
If the applicant does not have identification, s/he shall sign an affidavit to that effect before the commissioners, and the applicant shall provide further identification by presenting his current registration certificate, giving his date of birth or providing other information stated in the precinct register that is requested by the commissioners. However, an applicant that is allowed to vote without the picture identification required by this Paragraph is subject to challenge as provided in R.S. 18:565.