How i can wake up iphone without home button or power button ?

You can use Assistive Touch if your home button is broken. That's no big deal.

The question is how do you wake the phone up if the power button and the home button are not working. Plugging in the charger will wake the phone. Is there another way? Can Assistive Touch somehow wake the iphone?

You're not going to get very far without a home button, even if you do manage to get it woken up. Try plugging it in to charge it.

Plugging it in or unplugging it will bring up the screen to "slide to unlock". But without the home button, how you do you expect to go from one app to another? You need to look at getting it fixed to be able to use your phone.

Make an appointment at an Apple Store to have your device examined by a technician. Or contact Apple Support.

Get the buttons fixed.