Dear all,
I solved the "backup-issue" by mounting my Pixel 3a XL into my linux drive via ssh by
sshfs [user@]host:[dir] mountpoint [options]
(see also https://linuxconfig.org/how-to-mount-a-remote-filesystem-over-ssh-with-sshfs)
Once the phone is a "normal" drive in the linux-system, rsync can be started normally and no rsync-daemon on the UT-device is necessary.
Best regards
Jörg