The world No.1 taunted a vocal section of the crowd during his victory over Cameron Norrie, then unleashed on them during his post-match interview.
Svitolina gave birth to their first child in October 2022.
Currently ranked No.16 in the world, he was a wildcard entry to the 2023 Auckland tournament.
The world No.3 has an ongoing battle with tennis crowds around the world.
The world No.15 will make his debut at New Zealand's annual tennis showpiece.
The Dane came out of retirement in August, after taking two years off to have kids.
The Romanian says she'll appeal the ban, which relates to two separate anti-doping rule violations.
The 28-year-old ended a 44-year wait for a Kiwi women's Grand Slam champion.
The Serb's 24th singles title equals the mark held by Margaret Court.
She becomes the first NZ woman to claim a Grand Slam tennis crown since 1979.
The 19-year-old is the first American to win their home Grand Slam since 2017.
The Russian will face record-seeking Novak Djokovic.
Along with Canada's Gabriella Dabrowski, Routliffe can become the first Kiwi woman since 1979 to win a doubles grand slam.
The world No.1-in-waiting will meet Coco Gauff for the Grand Slam crown.
The Spaniard overcame Alexander Zverev to progress to the final four.
The 2017 runner-up next faces world No.1-elect Aryna Sabalenka for a spot in the final.
Routliffe and her Canadian partner fought back from set down to reach the final four.
The Serb overcame sizzling heat to beat American Taylor Fritz and reach the last four at Flushing Meadows.
The world No.16 has finished runner-up at the tournament twice, including this year.
Ostapenko had earlier eliminated defending champion and world No.1 Iga Swiatek.