Buddy...
- Turn your shirt inside out before putting it in the machine.
- Set the machine to cold water, delicate/gentle cycle.
- The picture you posted is of a dry, hot desert, right? What do you think a machine called a dryer that uses heat will do? Hang them to dry on a cheap rack from Amazon or your shower curtain rod instead.
I have shirts that still look practically new after dozens and dozens of washes.