@Samuel_Sch I don't think ALL printer driver software includes the options you desire, this is a Photoshop forum where users might discuss how to make image adjustments in Photoshop that are needed to alter printed appearance. Can you do that?

In any case, though, I wonder if you are perhaps using the Apple default print driver rather than the manufacturer's own software? 

Here's some more info I wrote about this and Epson drivers, I hope you can interpret it in the light of your printer model:

Mac: Add printer, AirPrint issue, here are some notes about Apple’s built in (default) Gimp Print / Gutenprint based printer drivers.

Best avoided.  It can print quite differently from the manufacturer's own driver software. 

Does the print driver look different? some options have changed?

Are media names the same as previous drivers you've used, e.g.. is 'Premium Luster Photo Paper' mentioned or are the media types just simplified names like matte or gloss? 

You'll be aware, I'm sure, that the selected media name in the driver must match the selection made when printing ICC profiling patches, (so the ICC profile and media type selection are linked) . BUT is the media name selected previously actually there in the list?

IF the media names listed differ (and have been simplified) then you are perhaps inadvertently using Apple’s default Gimp/ Gutenprint driver rather than Epson’s own. It's not just a matter of installing Epson driver software, you have to select it too. I do know it's very important to use Epson's own driver software. I tripped over this myself on a client site, the driver looked different and I put it down to an OSX update imposed style - took a while to work that one out.

Here's an example of what I'd expect to see in an Epson driver for media name options:

Can you access print settings in an application other than Photoshop, try Preview?

If not, a thorough purge may be in order, perhaps install drivers (downloaded from Epson) again: 

1. Delete all instances of Epson printers from 

System Settings (or System Preferences depending on Mac OS version) / Printers & Scanners -or- System Preferences>Print & Fax, whichever you have.

2. Then go to /Library/Printers and trash the whole Epson folder.

3. Delete the Epson LFP Remote Panel (IF you are using that utility).

4. Then go to Epson online and download the printer drivers yourself.

Do not let the Mac install the printer driver for you.

There’s one more tripwire - in System Settings (or System Preferences depending on Mac OS version) / Printers  - - - , when adding the connected printer

[i.e. click the padlock, enter your password and click the “+” button]

- watch out for the “Use" selection - I recommend you do not select "Airprint" there under "use", but, rather, manually set "use” to the printer name, which will then call on the manufacturer’s own software rather than the default Apple driver (that’s based on Gimp Print / Gutenprint, which misses out some printing options such as specific manufacturers media names). 

Ted landau mac Guru had the same issue:https://www.macworld.com/article/224167/the-trick-to-finding-the-right-printer-driver-for-your-mac.html

I hope this helps

neil barstow, colourmanagement net  - adobe forum volunteer - co-author: 'getting colour right'

google me "neil barstow colourmanagement" for lots of free articles on colour management

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Your screen shot shows the standard macOS Print dialog box, and also shows the expandable sub-sections that usually contain the advanced options. When you expand and open those sub-sections, are the advanced options still not available?

Your screen shot shows Apple options, by the way. When you print, this is the software that displays options in each box:

• Photoshop Print dialog box: The options are displayed by Photoshop. In your screen shot, the Photoshop Print dialog box is behind the macOS Print dialog box, so the options you are currently viewing are not supplied by Photoshop, but by macOS. 
• macOS Print dialog box: This is the box displayed in the foreground of your screen shot. These options are mostly supplied by macOS, not Photoshop. 
• Printer options: Your screen shot does not show these, because they are displayed when you expand and open the sub-sections of the macOS Print dialog box. Usually, the options you mentioned are in the Printer Settings section. The options in those sub-sections are supplied by the printer’s manufacturer through their printer driver software, which you separately install.  

So that’s the background info. With that in mind, this is how you get to advanced printer options, if available:

• Make sure the most full-featured version of the printer driver is installed. Sometimes macOS automatically installs a basic printer driver that lacks some options. For some printers (not sure about Brother), advanced options might not be available unless you go directly to the printer manufacturer’s website and download the full, not basic, version of the printer driver and run the installer yourself. More info about that in this article: The trick to finding the right printer driver for your Mac (Macworld magazine)
• Make sure the latest version of the printer driver is installed. For example, if your Mac is runnning macOS 14 or 15 but the printer driver is for macOS 10.15, it might not work correctly. 
• Find the printer’s own options. Again, these are not found in the Photoshop Print dialog box or the macOS Print dialog box, but in the buried settings that you get through from the macOS Print dialog box. So in Photoshop choose File > Print, then click Print Settings to get to the macOS Print dialog box that you showed, then expand and open the appropriate sub-section (such as Printer Options) to get to manufacturer-specific printer options.

If you try all those things and the options you want still aren‘t there, contact the printer manufacturer’s tech support for more help, because Photoshop doesn’t control that part of the Print dialog box.

It is a basic, black-only direct-thermal portable printer, Samuel.

I didn't find a manual at brother-usa.com, but a fairly good, indexed online resource.

Clicking on the Support link gets a 404-not found, so I can see why you posted here.

More in a moment, if I find operating instructions. [I found nothing]

--

Try clicking on Media & Quality. That's where the settings on most printers is.

Inside Photoshop: Print a document, then click on Print Settings;

within Print Settings, in the resulting Print dialog, scroll down until you see Printer Options, then look for Print Settings, then Print Quality.

This is all printer-dependent.
Maybe a denizen of this community has the same printer.