@VvBonjour Your Mac likely wouldn't recognize the discs even if it had a disc drive: all versions of macOS starting with El Capitan (10.11) will fail to authenticate Sims 3 discs.
Did you ever register your codes either in Origin or on the old Sims 3 site ( www.thesims3.com )? If so, just login to Origin with the same email address and password you used back then, and your content should already be in your Origin library, from where you can download it, for free. If you're not sure what account you might have used, just enter any email address you can think of in the Origin login window, click I forgot my password, and see if you get a password recovery email.