Companies House Error Message
Step-by-step fixes for companies house error message in Engager
The date for this service has not changed in Companies House yet, so this service cannot be completed. Try again later

The error means exactly that - you've filed something with CH, could be a CS01 or accounts, but they've not been accepted and processes yet, meaning CH have not yet issued the new dates.
So as a failsafe, Engager won't allow you close out a Service until these documents are accepted and new dates provided - it's there to save you just in case the accounts get rejected and you miss this, so although a slight annoyance, it's their to protect you