Mr Taylor has spent his first days in leadership spruiking the opposition's stance on immigration, promising to slash migrant numbers and "shut the door" on people who don't respect Australian values.
He said an immigration policy would be developed with his new-look shadow cabinet, but would not be drawn on details.
"For too long, immigration numbers have been too high, and standards have been too low," Mr Taylor said.
"If someone doesn't subscribe to our core beliefs, the door must be shut."
Mr Taylor returned members to the front bench who were axed by former leader Sussan Ley, who he ousted in a party room ballot on Friday.
"Today marks a fresh beginning, an opportunity to put the past behind us and to remember that our historic strength comes through unity," he said in Sydney on Tuesday.
Conservative supporter Senator Jonno Duniam has been given the shadow ministry home affairs and immigration.
"We're going to protect our way of life. We've got to get immigration policy right," Mr Taylor said.
He has denied seeing an immigration policy document, developed under Ms Ley and leaked to media on Monday, that took a hardline stance to ban migrants from specific regions of 13 countries.
The regions included are within Afghanistan, Gaza, Lebanon, Somalia and Egypt.
The proposal would also seek to remove up to 100,000 asylum seekers and people on student visas faster.
"Frankly, I don't know what the document is," Mr Taylor told ABC's 7.30 program on Monday.
Former immigration minister Paul Scarr, who lost his shadow ministry, said on Monday he "never agreed" or signed off on the policy document and disowned the country ban aspect.
Andrew Hastie, Jacinta Nampijinpa Price and Sarah Henderson were promoted in the shadow cabinet shake-up.
Several moderates and key backers of Ms Ley, including Alex Hawke and Paul Scarr, were taken off the front bench.
Leading the opposition in managing the economy, deputy leader Jane Hume holds the finance portfolio and Tim Wilson is the shadow treasurer.
Moderate Andrew Bragg retains the housing portfolio and will take on the role of environment spokesman, while James Paterson has shifted from finance to defence.
Conservative Western Australian MP Andrew Hastie had stepped down from Ms Ley's front bench last October, citing disagreement over immigration policy. Mr Taylor gave him the energy portfolio.
Liberals hope to claw back ground under Mr Taylor's leadership after bleeding votes to One Nation in recent opinion polls.
Pauline Hanson's anti-immigration party has had a surge in opinion polls since the federal election.
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