How do you get rid of mold in clothes?

I found an orange shirt wrapped in a plastic bag in the backpack I send with my kids to daycare. Pretty sure it has been there a few days! And I'm guessing it was soaked in spit up. Anyways it looked pretty bad! I put it through the wash with ALL free clear and Clorox2 for Colors free&clear. Unfortunately the mold didn't come out. My children have extremely sensitive skin (excema with skin allergies) so I would like to avoid using anything scented otherwise I would have to run it through another load with an extra rinse. I thought about trying white vinegar. I know it is a great cleaner and will get rid of the moldy smell. I didn't know if it would require putting directly on the shirt (like Shout) of if it would work to dump in the water before adding clothes. Any other suggestions would also be greatly appreciated! Would be nice to avoid throwing the clothes away. Thanks to everyone who can help!