Create some files (via templating) on the source server as usual:

- name: Create backup configuration files
  template:
    src: "backup.yml.j2"
    dest: "/tmp/backup.yml"

We then want to copy this file to another server, e.g. other.example.com. To do this we need to use delegate_to which will run a task on another server.

You can delegate either scp or synchronize (which uses rsync under the hood) to get the desired result.

with scp

- name: Copy configuration to Backup server
  become: true
  shell: "scp -o StrictHostKeyChecking=no -o UserKnownHostsFile=/dev/null admin@{{ inventory_hostname }}:/tmp/backup.yml /etc/backups/backup.yml"
  delegate_to: other.example.com

with synchronize

- name: Copy configuration to Backup server
  synchronize:
    src: "/tmp/something.yml"
    dest: "/etc/backup/config/backup.yml"
    mode: pull
  delegate_to: other.example.com

Note that mode: pull is important since the command (rsync) is run on the other server and it wants to pull the file.