Unable to print double sided pages using on MacOS Sequoia

MacOS is supposed to obtain the manufacturer's Drives, and offer them to you when you create a new Print Queue. That process appear to be working great in this case, provided the Print Queue you set up previously is not just an AirPrint print queue.

if you had rushed through the Print queue creation, sometime AirPrint drivers are offered first, and manufacturer's driver take a few moments more to appear.

When extended features are available, you may need to navigate to a sub-pane of the Print dialog to view and change those settings. if you wished, you could capture 'two-sided' as the default profile.

What does you Print dialog show?

if you use settings > Printers & Scanners ...

and select the print queue, you can examine what driver it is using, and in Settings pane for that specific PrinterQueue, may produce something like this:

note the checkbox,use GENERIC printer features -- probably NOT what you want

The arrangement of the Print pane changed for Ventura and later. Mine looks like this on my Ventura system:

what I see is that the Two-sided option seems to have grown its own area on the print pane, after pages and before paper size.

Just thinking out loud in a divergent way, this suggests to me that the Driver actually installed (especially if you migrated from an older MacOS) might pre-date Ventura. So you may need to check not only that the correct driver is downloaded, but that when you create a NEW printer instance, the NEWEST Drive is actually selected.

if you installed the Print Queue as AirPrint printer Queue, it gets no access to the manufacturers extended features.

if you installed the Print Queue using the printer-maker's Drivers, it can access the full set of the manufacturers extended features.

if your printer is very old, many printer-makers stopped producing WORKING Drivers when 64-bit drivers became a requirement, with the introduction of MacOS 10.15 Catalina, more than five years ago.

the AirPrint driver does not support any fancy printer features like double-sided. Only if you obtain the manufacturers Driver and create a printer instance that uses the manufacturer's driver can you get access to printer-specific features.

I think the Airprint Driver is only at 2.0, so that seems likely to be the manufacturer's Driver.

¿Can you posts a screenshot of the Print pane?