Resources wise, absolutely, Texas does have big pocketed donors, but they also generate a lot of money. The credit of the appreciation and increase in revenue is due to Del Conte facilitating the move to the SEC
Their Big12 departure put them at a near 50 million deficit as they paid buy-out to their other SEC schooled except Oklahoma in revenues from the conference. They still won a couple of softball NCAA titles, volleyball, golf, and swimming, and diving. Add back-to-back WCBB final fours.
In Regards to recent history, in football, they were just on the outside of the CFP last year after two consecutive years of making it before it expanded. However, until then, you’d have to go back to 2007 when Texas was doing well at football, looking a lot like the Illinois basketball program from 2007 until Underwood took over. Texas basketball is kind of up and down. They won the Shaka Smart sweepstakes over Illinois and are on their third coach since him, so that should be telling how things are going. You could argue resources got them Sean Miller and they just made the S16 and will be F4 caliber next year.