Ben Morton will be promoted to special minister of state and Melissa Price will pick up the science and technology portfolios in a reshuffle today, while separately, Slade Brockman will become Senate president.
Defence Industry Minister Melissa Price will pick up the science and technology portfolios he held.
Immigration and Multicultural Affairs Minister Alex Hawke will be elevated to cabinet.
Western Australian MP Ben Morton will be promoted to special minister of state and public service minister while also assisting prime minister and cabinet.
Victorian Tim Wilson also received a promotion from the back bench to a junior ministerial role assisting Mr Taylor.
Mr Porter resigned after revealing money for his defamation case against the ABC came from unknown sources through a trust.
Meanwhile, a former chief of staff to now-retired cabinet minister Mathias Cormann has been picked for the job of Senate President.
Liberal senator Slade Brockman reportedly defeated fellow Western Australian Dean Smith in the second round of a party room ballot on Friday afternoon.
The Senate will formally vote on the presidency when it resumes on October 18.