If you are going to produce anything that utilizes school colors, it's best to look at the University's Brand Guidelines webpage.
Having said that, the following is a great site for colors for professional teams and colleges. In my experience, they update as the institution or organization changes their colors:
Team Color Codes has the hex, rgb, cmyk and PANTONE color codes for MLB, NFL, NBA and NHL teams. These codes will help you with all the digital projects where you need team colors.
teamcolorcodes.com
When manufacturing, you'll want to use their standardized color codes to get the perfect match. For the most part, I believe HEX is the most common standardized measurement used. That is expressed as a number sign followed by 6 letters, numbers or a combination. For example, pure White is #ffffff and pure black is #000000.
Below is the University of Texas Burnt Orange color and Oklahoma University's Orange color. But, because of color limitations on the internet, they will appear very differently, as they are, but they won't be a perfect match to the HEX code I show in each box. That's why you use the HEX code in manufacturing and get the correct color match.
So, if they can use standardized codes when creating their dyes for the cues, they can perfectly match any sports team's colors.