Hi Yu Huixuan
Could you share your project? how are you setting you UART configuration, and how you change the operation mode? After you change power mode you need to "reinitialize" your UART configuration.
Are you using KSDK drivers? if so, You could check the examples for power management in demo apps. In KSDK 1.3 you can find them in <Path_KSDK_1.3.0>\examples\frdmkw24\demo_apps or if you have KSDK 2.0 you can find them in <Path_KSDK_2.0>\boards\frdmkw24\demo_apps.
Hope this information helps you
Have a great day,
Jorge Alcala