How can I transfer votes to nodes selected from an entity reference list?
Use the Inline Entity form, which allows you to set a view with the list of nodes and modify them directly (you would set the voting in the voted node e.g., the class or teacher, in your example).

The plan is for you to set up the Review content type with a Entity Reference field. This will allow you reference a View where you can set up your Class and Teacher Nodes.

You need the following Modules: Five Star and Voting Api (Which you already have) Views, Entity API, Inline Entity Form.

The way I understand your process is as follows:


You have a set of classes and a teachers
You intend to make available a set of these classes and teachers to a different content type (this is review), to generate votes for that class and/or teacher
The number of classes/teachers available for that review to emit a vote from is unspecified (may be all or a subset of them)


To go about this you need to have the following:


Voting fields in class and teacher content types
Create a Entity Reference View which displays the list of nodes you need (one for each, selecting their respective content types).
Add a Entity Reference field in the review content type with the Inline entity form - multiple values widget.
While setting the field:


Check Allow users to add existing nodes, so that they can select the class/teacher from your current list.
Select in Entity Selection: Views: Filter by an entity reference view
Select in View used to select the entities the view you would prefer for that field (teacher or class)



You should be able to add the classes/teachers you want to vote for. Also, you can control the entities shown by the view (so you could add context filters). Be mindful of setting the votes so you can vote while editing.