The flow is not updating the field value on child based on the field value on parent.
Schema looks like this - Object:
Schedule__c Title__Id (Text Field) Title__c (Look up to Title__c object) > Title_ID__c (Text Field)
When a new Schedule__c record is created Title_Id__c value should be autopopulated to be the same value as on the lookup object's field Title__id__c
When the Scheule__c record's lookup field Title__c is updated from say value A to value B , then Title_id__c on Schedule_c record should be value B's Title_id__c