Hi@hongmei
Question 1:Does S32K146 support wake up by uart in standby state?
yes, Lpuart can be wake up from S32K1's low power mode.
you can read the datasheet for more detail.

Question 2:If S32K146 supports wake up by uart, how to config uart in S32 Design Studio?
Is there any sample than I can refer to?
I checked and found that the SDK we provide does not support "IDLE " interrupt configurations. You need to manually configure and modify them. I found some similar answers that may be helpful to you.
https://community.nxp.com/t5/S32-SDK/S32K144-LPUART-IDLE-Line-Interrupt-Configuration/m-p/922564