Twitter says the breach has now been resolved but is investigating how it happened.
The account was set up in protest against inclusive sex education in UK schools.
Some posts also linked to false press releases calling for the release of drill artist Digga D.
The social media giant admitted it had fixed the issue four years after it started.
Clothes retail businessman Yusaku Maezawa's tweet has been shared more than 4.6 million times since it was posted on Saturday.
The US president takes aim at big tech companies over alleged bias towards the left.
The video features the patient John Lewis of Blacksburg, Virginia, and references the UK retailer's famous festive ads.
Silicon Valley CEOs have testified at the Senate over Russia’s interference in the 2016 US elections - but there was one notable absentee.
Google has refused to make its top executive available for the Senate intelligence hearing.
Mr Jones’ account was suspended because he incited violence, the site said.