anyway no twin engined aircraft can manage to survive when one of its engines is failed while "taking off".
Incorrect. Aircraft certified to EASA/FAA standards have to be able to continue take-off post V1 with an engine failure and reach 50ft obstacle clearance.
by the way about being able to fly with one engine I really doubt any commercial plane can withstand loosing half of its trust at the take off .
Incorrect. See above.
when you want to take off you usually use the maximum trust
Incorrect. Most airliners, regardless of whether they are jets or turboprops use reduced thrust takeoffs
not all dual engine planes can continue with one engine .
Most certified airliners can.
even if the trust is enough for the flight to continue , extreme pilot skill is needed to control the plane from flipping and being dragged
For most aircraft, a strong rudder input is all that is necessary.
According to the little information I can find on the AN 140, it is certified by Russian and Ukranian aviation regulatory bodies. Whilst not as stringent as the FAA/EASA standards, they would not certify an airliner if it is not capable of OEI post V1 flight.