Restoring web application services with the help of existing backups, as performed by Robert, falls under the Recovery stage of the Incident Handling and Response (IH&R) process. The Recovery stage involves actions taken to return the organization to normal operations after an incident, which includes restoring systems to their operational state using backups, patching vulnerabilities, and ensuring that all systems are clean and secure before being brought back online. This step is crucial for resuming business operations and mitigating the impact of the incident.