Hi,
What version of FMOD are you using? How are you moving the project from one device to the other? e.g. Version Control. I will link to another thread that encountered a similar issue: Distribution of FMOD Studio Libs on Catalina/Big Sur in Integration - #9 by Andrew.
Are the FMOD Built banks included when you are moving the project to the new Macbook? That could explain why they aren’t found.