Twilio Programmable Voice SDKs encounter common error codes that are often related to issues with push notifications, such as mixing up certificates for iOS devices or using incorrect credentials. To resolve these errors, developers must ensure they use the correct certificate and credentials for their specific environment, review their token configuration, and enable debug logging in their application. Twilio Support is available to assist with complex issues, and users can request support assistance by submitting a ticket through the Twilio Console.