Hopefully you've solved the problem by now but if not -
- go to the aol.com sign in and enter your user name and password.
- go to the security page and generate a mail app specific password. Call it Mac Mail.
- copy and save the password.
- Go to Mail on your mac and add account but DON'T click AOL, click other. Enter your verizon.net email address and the app specific password you copied. Enter the info below for incoming/outgoing mail servers:
Incoming mail server (IMAP): imap.aol.com
Outgoing mail server (SMTP): smtp.verizon.net
Good luck