Field data propagates to CopyOnOverflow sections automatically for those variable fields that have a form-global scope (rather than section-local or formset-global).
Make sure the variable fields in the FAP files you want data to propagate into are assigned a form-global scope. You can check this on the Field Options pane in Studio.
Next, make sure the FAP files are loaded correctly for those sections. The system automatically loads FAP files for CopyOnOverflow sections. If, however, you make these changes and still do not see the desired results, see if you elected to explicitly load pre-compiled FAP files and did not recompile. If this is the problem, consider whether your application would be better served by using on-the-fly compilation rather than explicit pre-compilation.
Also, if you are maintaining different versions of the FAP files in Library manager, make sure you checked in the FAP file changes.
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