Hello, and welcome!
If you are traveling domestically, you should not have much trouble getting through TSA screening security, because they understand that passengers may have lost their driver's license and they have a list of other acceptable ID's, here:
If you have a copy of the front and back of your driver's license, this should help them identify you through publicly available databases, but be sure to leave extra time to get through security screening and tell them at check-in and at screening, that you don't have your driver's license.
I wish you much good luck and safe travel!
Please be so kind as to rate my answer with positive feedback so I receive credit for my assistance. Thank you.Rating will not cut off our communication and you can click 'Reply' at any time to ask for any clarification or additional information.Warmest regards,Cher