Hi Muhammad
The IO pins on the CC256x have 1.8V logic level. In your schematic, you're using a bi-direction level-shifter. You could cut the line between CC2564 and the level shifter and check the level on the BT-RTS directly.
Also, shutdown should first go to low and then high again and the slow clock should provide 32.768 kHz.
Please try to get it working with TI's dev kits on a desktop computer and then compare to your embedded design.
As the CC2564C is unlikely to get another revision, we would recommend to use the newer Infineon CYW20704 instead. There's a nice dev kit from Laird Connectivity DVK-BT860 to get started.
Cheers
Matthias
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