There are two options:
1. You can print the exported image (SVG format works best because it's scalable). This command exports the Scheduler as SVG and open the browser print image:
this.scheduler.control.exportAs("svg").print();
See also:
https://doc.daypilot.org/scheduler/printing/
2. If you need more control over the result, you can export the Scheduler to PDF. This will let you add custom header/footer, split the export into several pages, control the page orientation, etc. However, it doesn't open the print dialog automatically.
See the following tutorials:
https://code.daypilot.org/73551/html5-scheduler-pdf-export-javascript
https://code.daypilot.org/76551/html5-scheduler-paged-pdf-export