Rules are not triggering for Multi-homed Tasks

Hello, please help me categorize this submission where it needs to be.

We have a Product Update Request project that has rules built in to multi-home tasks to merchandisers individual projects.

I have rules built out in each merchandisers individual project to do the following. Once the task is completed and the specific custom fields are selected, the task will move to Confirm tasks are live section, the task will mark itself incomplete, and change the due date to 14 days in the future.

I mimicked the rule for completion in the Product Update Request project, but I am noticing that the rule to move the task to Confirm tasks are live section is not being triggered when the multi-homed task are completed from within the merchandisers individual project.

Is there a way to choose the order of rules to trigger on multi-homed tasks?