Just importing a class does not allow you to use a property from that class. You need to get an instance of the ViewController class (let's call it vc for example), and then use it like so:
[vc.StrainTableView setSearchResults: [arthritisResults copy]];
How you make that instance of ViewController depends on the structure of your app. You probably don't just want to alloc init one, but get a reference to one that you already have.
BTW, your code would be easier to read and understand if you conform to the naming convention of using lowercase letters to start properties and methods (and capitals for classes).