Parrots and other birds don't suffer from the build-up of gas in their digestive system.
They simply don't have the gas-forming bacteria in their gut as humans and other mammals do to help digest food, so there's no gas to pass.
Parrots, particularly Einstein will emit fart-like sounds, but it's not what you might think.
These are playful sounds like the kind you might make blowing into a baby's belly, as in giving them a raspberry.
It sounds just the same and might indeed be Einstein imitating the various sounds of farting, trumping, tooting, passing gas, or breaking wind, but it's coming from the north end, not the south!
When Einstein lets loose with these sounds, he will often apologize!
Oops!
Sorry!
Excuse you, Einstein!