what exactly is tRA?
The link below could probably explain it better than I could. Essentially, it layers in infield and outfield fly rates, groundball, and line drive rates into the same things that go into FIP (K, BB, and HBP rates plus HR/FB), gives each hitting event a weight based on the likelihood of scoring before and after the event, and calculates how many runs should be charged to the pitcher. There's also a regression to the mean that is more powerful the fewer innings pitched (that makes sense - less track record, less weight on the sample).
http://www.statcorner.com/tRAabout.htmlFor what it is worth, I'm getting more skeptical about all of these better than ERA methods of predicting future runs allowed. ERA is bad as a predictor of the future (Wyers article about a 2.3 runs, plus or minus), but the best of the others has a margin for error around 1.75 runs when you are working with 30 IP, and gets to .75 around 110 IP.