Hello Max,
I was reviewing your chip reference manual, and it says:
"All members of the CC256x family support the H4 protocol (4-wire UART) with hardware flow control. The CC2560B and CC2564B devices also support the H5 protocol (3-wire UART) with software flow control. The CC256x device automatically detects the protocol when it receives the first command."
So, I would like to know if your chip is detecting correctly the used protocol:
On your previous question you mentioned about RTS logic state and then you mentioned about your are using H5 protocol, there is no need to use these lines (RTS and CTS) when using H5 protocol so maybe your chip is detecting your UART communication as H4 instead of H5.
When using H5 protocol, Bluetooth specification mentioned about Software Flow control, Software flow control (XON/XOFF) consists on sending XOFF character from RX side when there is no more space on receiver, so, this way, transmitter will have to stop sending bytes until XON character is received from receiver.
Basically, you need to ensure that when a XOFF character is received from your BT chip, your Kinetis Transmitter will stop sending more byte until XON character is received and transmission will be resumed.
Awfully, i don't have an example about it but this is technically easy to implement. You should find which character represents a XOFF and XON (I quickly looked for this information and your BT chip's reference manual refers about consulting Bluetooth Specification (Vol 4: Host controller Interface, Part D: Three-wire UART transport Layer: 10 Out of frame control))
if you want to use H4 protocol, it uses hardware flow control, and Kinetis supports it too.
I attached a example code (it is done for TWR-K60N512) where hardware flow control is tested, basically, I communicate UART0 with UART1 using hardware flow control (and FIFO capability too). You can see that RTS and CTS lines are controlled by hardware and transmitter will transmit remaining bytes when receiver is capable to received them.
i will recommend you to try both protocols and see if you can have a successful communication with one of them. Also you should look for an example (from TI) and see if there is a special procedure to start communicating with your chip.
Hope this helps,
Best Regards,
Isaac Avila