Autothrottle is not made to deal with engine failures, we do that manually. You don't want the autothrottle to add thrust in an asymmetric situation, that's fa

Autothrottle is not made to deal with engine failures, we do that manually. You don't want the autothrottle to add thrust in an asymmetric situation, that's far more dangerous than losing a couple of kt or temporarily accepting a small deviation below glideslope. Because with asymmetric thrust, any power change causes yaw that you need to counteract that with rudder. You want manual control over both to ensure they happen in coordination.