That printer picker you have there never worked for me, on different computers. Even if my printer
was in the list (usually wasn't), no luck getting it to work right. (In retrospect, I think that perhaps the printer makes and models there didn't have the proper drivers in the kernel.)
Remember, this is Linux, not Microsoft Windows.
Linux has most device drivers built right into the kernel; so unlike Windows, you don't have to install a driver for most devices (including most printers).
Now, is your printer fairly new on the market? Such printers can be too new to be included in the Linux kernel. In that case of course, you need to find and install. (It's always best to restart after that.)
What Linux distro are you using? Whether it's a conservative distro like Debian or a cutting-edge, latest bleeding-edge kernels etc. distro can make the difference in a newer printer being recognized, for reasons that should be obvious.
The only printer driver that I had to install was for an old Brother, years ago. I finally found the driver with Google; some guy had written the driver himself and made it available for others online.
I recall that
Real men write their own drivers was on that site, IIRC. (Yeah, right. I guess I'm not a real man, but thanks for the driver, friend.)