Modern Vespa

We forget ignition on, after few hour battery consumed all juice. And now with fild up battery don't rotate the engine.
Other functions are OK, also wen I press the start button voltage on battery remanes identical.

What's the actual voltage? It's possible for the battery to be drained enough that it's permanently damaged and needs to be replaced.

12.8V I aloso try with doner battery

Put the sidestand up and put the kill switch to run

Side stand switch is ok

As mentioned:

Killswitch
Sidestand

Any sign of life in your Vespa (dash, fuel pump, etc.)? If not maybe you blew the main fuse or a secondary fuse when you try to jump-start…

Does the brake light illuminate when you squeeze the lever?

Everything on dashboard is OK, I check all fuses, all functions are working, light,fuel pump releys,...Vespa have star/stop.
I think this model don't have finically starter or reley

Starter doesnt turn if throttle is open. Close throttle all the way

same no startup

Is there any sound when you press the start button? Are you holding either brake lever at the same time you press the start button?

What happens to the code LED (little red LED on the dashboard) when you first switch on? How many flashes, for how long each time, and does the LED then go off or stay on?

how? with your eyes or with a multimeter