In one, he claimed that “Rothschilds [sic] Zionists run Israel and world governments”, while in another he criticised “sellouts who would sacrifice a Labour government for their 30 pieces of silver”.
After the Sun reported his remarks, there was widespread condemnation within Labour of Mr Moore's nomination as a candidate.
But on Friday, the Liverpool West Derby constituency Labour Party tweeted that Mr Moore, an evangelical vicar, had offered his resignation but it was "unainmously "refused by members of the party's Norris Green & Croxteth branch.
This means Mr Moore is still due to fight the safe ward seat, which is close to the Liverpool Wavertree constituency of Luciana Berger, who has been the subject of a number of antisemitic online threats.
Shortly after Mr Moore's were first revealed, Wes Streeting, Labour MP for Ilford North, tweeted: “How was this person ever selected?”
Ian Austin, MP for Dudley North, said: “Someone with views like this should not even be in the Labour Party, let alone be selected as a candidate and the party and the leadership need to deal with it immediately.”