Salesforce Manufacturing Cloud can be integrated with Oracle ERP orders data using two options:

Use an AppExchange ISV solution: This option allows you to leverage existing solutions from independent software vendors (ISVs) that are available on the Salesforce AppExchange platform. These solutions are designed to simplify and automate the integration process between Salesforce and Oracle ERP systems. Some examples of AppExchange ISV solutions are rSTAR, DBSync, and Jitterbit.

Use API integration with custom logic: This option allows you to use the Salesforce APIs and the Oracle ERP APIs to create custom logic for integrating the orders data between the two systems. You can use any programming language or tool that supports REST or SOAP web services to build the integration logic. You can also use the MuleSoft Accelerator for Manufacturing, which is a prebuilt integration solution that connects Salesforce Manufacturing Cloud with Oracle ERP Cloud1.