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i have an iphone 6 and it goes to “sleep” after i don’t use it for about 30min sometimes after 1 hour, so the device is on but won’t show anything in Display or won’t vibrate it’s like the device is off, even if i connect to charger it won’t show anything the only solution to wake it up again is to pres and hold Home button + Powerbutton.
Sounds like a bad screen, if this issue occurred after getting the screen replaced, take it back to where you got it repaired from for warranty on that screen.