Wi-fi driver is not supported by wpa_supplicant

Question

I am trying to connect to a WPA-encrypted wireless network from the console. I am using an ALFA AWUS036ACH wi-fi adapter. So I have created the file /etc/wpa_supplicant.conf which contains the following:

network={
    ssid="my_network_name"
    psk="my_pass"
}

Then ran lshw -C network as root and got

  *-network DISABLED
       description: Wireless interface
       physical id: 2
       bus info: usb@1:2
       logical name: wlx00c0caaba0be
       serial: 00:c0:ca:ab:a0:be
       capabilities: ethernet physical wireless
       configuration: broadcast=yes driver=rtl88XXau multicast=yes wireless=unassociated

So I assume my driver is rtl88XXau, but when I run (as root)

sudo wpa_supplicant -B -D rtl88XXau -i wlx00c0caaba0be -c /etc/wpa_supplicant.conf

I get the following output

Successfully initialized wpa_supplicant
wlx00c0caaba0be: Unsupported driver 'rtl88XXau'

And the wi-fi does not connect. When I try to specify wext as my driver, the output is

Successfully initialized wpa_supplicant
ioctl[SIOCSIWAP]: Operation not permitted

My Ubuntu GUI, however, allows me to use this card and there are no problems with connecting to an access point. What is wrong with the way I try to do it in terminal?