lopic34:
I successfully send the YunSerialTerminal to the 32U4 and when I press 2 time on the 32US RST button, red led is flashing ... (the program is ok for the 32U4 side).
Why do you say that the red LED flashing means that the program on the 32U4 side is good? Doing the double reset just puts you in the 32U4 bootloader. That red flash means the 32U4 bootloader is working, but it doesn't imply anything about the sketch that may be loaded.
But as other people, the Linux never reboot, and no way to get a log or message with serial port.
If you aren't getting anything at all, I suspect it is something in the way you are doing things. For example, pressing the 32U4 reset button at any time during this process is unnecessary, and will likely cause you problems. For this procedure, don't touch the 32U4 reset button at any time.
The issue may be that unlike most other Arduino boards, the USB serial interface between the Yun and your computer is handled directly by the 32U4 processor, not by a separate translator chip. That means that every time you hit the reset button, you are re-initializing the USB serial port - as far as your computer goes, it's as if you unplug and replug the Yun each time. If you have the serial monitor or other terminal program running and open, when you press the 32U4 reset button you are essentially ripping the Yun's serial port out from under the terminal program, and then plugging in a new port. The connection that the terminal program had with the Yun is gone, and you won't be able to send or receive anything. On my computer, whenever I press the 32U4 button, I need to close my terminal program and re-open it before I can talk to the Yun again.
Follow the procedure again, step by step, and don't add any steps like pressing a reset button. Load the YunSerialTerminal example, open the Serial Monitor, and then press only the YUN RST button (the one closest to the the SD card slot.) At that point, you should start to see the boot messages from the Yun, and you should be able to follow the rest of the procedure.