According to Export order to ERP, the recommendation is to listen to event OrderReadyForProcessing (Pending processing), create the order in the ERP system and then use /notify/exported in ERP connect to mark it as exported. This will push the order to state Processing.
In some cases the export to the ERP fails. It might be due to a missing or blocked customer number/article, missing prices or network issues. In some cases the easiest solution is to manually fix this in the ERP. This will however not change the state of the order. Allowing an administrator to manually push the order to the next state when they think it is correctly fixed would solve this.
Why
Many customers use a filter on the state Pending processing to ensure that all orders have been correctly created in the ERP. They use this as a list of all orders to handle manually, and having the option to push fixed orders to the next state will make it easier to see which orders they still have to fix.