To start with, help them with their headspace. The pace, the intensity and the sound of modern day life can be difficult enough to deal with. By giving them L-theanine in my Calm + Collected treats at least an hour before you need the effect, it’s proven to help your dog be less irritable and responsive to annoying sounds.
It’s Doggy Diplomacy time, get them out to Meet the Supposed Threat, on a lead, take them outside of the gate at the time when the object of their frustration is going past and let them see or even sniff it. But if you stay calm, make them sit and reward them with a treat the moment they turn to you and BEFORE the barking starts, then you’ll teach them that their fear of that ‘thing’ is unfounded and being calm around that object is a much bigger win for them.
The third tip is taking that Turn and Respond technique into the home, put some small chopped up treats into a small container and each time they start to seem distressed or annoyed at a sound, shake the container, this encourages them to turn to you and distracts them from something worrying to a sound they learn to love.
Exercise will help lower their baseline anxiety level while background sound from relaxing music, TV, cooling fans or even white noise generators work brilliantly to just block out the outside world’s not so wonderful sounds.