Mack Brown didn't bring back burnt orange. I'm really not sure what you think you're reading in that article.
He encouraged fans to "wear orange" at the football games. Which is what that article stated, and indeed what happened in real life. Before that, folks wore all kinds of whatever to football games. But that wasn't just at Texas-- if you look at footage from TX-OU in the 80s, the crowd wasn't half-orange and half-crimson. If anything it was mostly white at both endzones. Folks didn't really start showing out in nothing but school colors, until the mid/late 90s.
But anyway, burnt orange for the football team, returned for good under Saint Darrell.