There's a bunch of ways you can go about keeping a reference to this.
The simplest would be just to keep a reference to the view controller in the AppDelegate.m
So you add a property
@property (nonatomic, strong) STRTableViewController *tableViewController;
Then, whenever and wherever you are instantiating and setting that table view controller, just do something like:
AppDelegate *delegate = [[UIApplication sharedApplication] delegate];
delegate.tableViewController = justCreatedTableViewController;
You'll need to #import "AppDelegate.h"
to access the app delegate in other classes where you want to do this.
Then to access it you can just do something like:
- (void)loadTableViewData
{
[self.tableViewController loadTableData]
}