Context: There have been 31 head coaches since the inaugural team in 1893, with Steve Sarkisian being the current head coach of the Longhorns. Input: How many head coaches have there been for the Texas Longhorns since 1893? Output: The answer is 31 head coaches for the Texas Longhorns since 1893. This conclusion is based on the information provided in the question, which states that there have been 31 head coaches from the inaugural team in 1893 up to the present day, with Steve Sarkisian being the current head coach.