How to improve the SPP throughput in MSP430 + CC2564 with Bluetopia SPPLEDemo_Lite project ?

I am developing inMSP430F5335 + CC2564 with Bluetopia in IAR SPPLEDemo_Lite project.

My Application is like the following:

The debug UART send the data to the MSP430F5335, and the MSP430F5335 and send out the data to PC via SPP .

To improve throughput , I have reference the following page for improve the throughput of CC2564 and config the parameter.

http://processors.wiki.ti.com/index.php/CC256x_MSP430_TI's_Bluetooth_Stack_Basic_SPPDemo_APP_Improving_throughput_v14

I also reference the sample code for reading data from debug UART in SPPDemo project , it use the HAL_ConsoleRead function for reading data from debug UART. The code is like the following:

In MAIN.c

static void IdleFunction(void *UserParameter)
{
   /* If the stack is Idle and we are in HCILL Sleep, then we may enter */
   /* LPM3 mode (with Timer Interrupts disabled).                       */
   if((BSC_QueryStackIdle(BluetoothStackID)) && (SleepEnabled))
   {
      /* Attempt to suspend the UART.                                   */
      if(!HCITR_COMSuspend(0))
      {
         /* Enter MSP430 LPM3 with Timer Interrupts disabled (we will   */
         /* require an interrupt to wake us up from this state).        */
         HAL_LowPowerMode((unsigned char)FALSE);

         /* Check to see if a wakeup is in progress (by the Controller).*/
         /* If so we will disable sleep mode so that we complete the    */
         /* process.                                                    */
         if(!HCITR_UartSuspended(0))
            SleepEnabled = FALSE;
         

         /* Go ahead and process any characters we may have received on */
         /* the console UART.                                           */
         ProcessCharacters();//------------------------------------------Read the data from debug UART
      }
      else
      {
         /* Failed to suspend the UART which must mean that the         */
         /* controller is attempting to do a wakeup.  Therefore we will */
         /* flag that sleep mode is disabled.                           */
         SleepEnabled = FALSE;
      }
   }else{
      // Process any console characters that we may have.               
      ProcessCharacters(); //------------------------------------------Read the data from debug UART                                                    
   }
}

In SPPLEDemo.c and in the ProcessCharacters()

void ProcessCharacters(void)
{
  char Char;                 
   
    while(HAL_ConsoleRead(1, &Char))
   {

            //Send SPP BT data
            char Buffer[1];
            Buffer[0]=Char;
            SPP_Data_Write(BluetoothStackID, SerialPortID, (Word_t)1, (Byte_t *)Buffer);
   }
}

When the baud rate of debug UART is 115200.  But the SPP data will loss when the baud rate is set to 115200.

I think the reason of data loss is MSP430F5335 need to receive data from UART and send the data via SPP at the same time. But I am not sure...

Question: 

Is it correct to receive the console data at following function? Is it fast enough to read the data from console ?

IdleFunction

Can some one give me some suggestions ? Thanks in advance and sorry about my English.