Get taxonomy terms value in views
Considering entity reference fields in the following manner:


Program having an entity reference field pointing to the terms of program type vocabulary.
Registration having an entity reference field pointing to nodes of type Program.


To achieve what you want:


Create a view of content. Of type "Registration". Add required fields from registration content type
Add a relationship of type "Entity reference: referring entity" with field from #2 above.
This will enable you to add attributes/fields from the "Program" content type.
Add a relationship of "Entity reference: referring entity" with the field from #1 above (pointing to terms). Important: Use the earlier relationship in this new relationship (i.e. nested relationship).
This will let you add attributes/fields from the taxonomy terms.