"Had it been raised directly with me those issues would have been identified", he said in a statement.
Several government ministers - including those for trade, communications and indigenous affairs minister Nigel Scullion - backed a resolution drafted by populist firebrand senator Pauline Hanson which railed against what it described as "the deplorable rise of anti-white racism".
"As to government senators who walked in here like sheep yesterday to stand up behind One Nation and Ms Hanson, frankly, do you really deserve to be here?"
Mr Porter said he was reviewing the processes in his office, which had put government senators in a hard position because their advice was to vote for the motion.
When introducing her motion, Hanson had said that anyone "who pays attention to the news or spends any time on social media has to acknowledge that there has been a rise in anti-white racism", as well as a "rise in attacks on the very ideals of Western civilisation". "Who is running the government?"
Liberal and Nationals senators voted against the motion at their second chance on Tuesday.
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"It is a matter of administrative error".
The Coalition initially supported it in the Senate before apologising and saying it was an administrative error. There are 50 or 60 motions that get moved this way every week.
"The reality is yesterday's decision by Government Senators to vote in favour of a phrase created and disseminated by white supremacist groups around the world is a shameful episode".
"Now you want to come in and say, 'Oops, we made a mistake.' We don't believe you".
Senate tried to turn things around by playing up the fact that a slim majority voted against the motion, claiming that it proves that the government isn't racist.
It took the government 17 hours to make the statement that supporting the motion was an administrative error.
"It should go without saying but I suspect many members in this place would struggle to say it. people have a right to be proud of their cultural background, whether they are black, white or brindle", she said.