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The second image of the post featured a tribute Gaga penned.
Christian Bale, who portrayed former United States vice president Dick Cheney in "Vice", won awards in the Best Actor and Best Actor in a Comedy categories, while Glenn Close ("The Wife") and Lady Gaga ("A Star is Born") jointly won in the Best Actress category.
"My heart is exploding with pride", she wrote on Instagram. But it saddens me to say that just after the show I learned that my dear angel of a horse, Arabella, is dying.
"I accept this award as an encouragement to myself to be fearless enough to face and see myself, and by doing, hopefully, I can understand and see others, and ultimately I can help others to see themselves", she said.
Noting the name means "yield to prayer", Gaga then opened up about Arabella and the impact she had on her life.
The film took home the top prize at the Critics Choice Awards on Sunday, also winning Best Director, Best Cinematography, and Best Foreign Language Film.
Rain makes de Minaur wait a day in Sydney
De Minaur claimed his first ATP title on Saturday night at the Sydney International beating Italian Andrea Seppi 7-5, 7-6. Kvitova prevailed despite her serve being broken six times in the match but she finished with 31 winners to Barty's 23.
"She is and was a attractive horse", she continued.
"Our souls and spirits were one", the Star Is Born actress continued. I will never forget the moments we shared.
'She will forever be a part of me.
The Favourite star Olivia Colman, who won a Golden Globe for her performance as Queen Anne in the period drama, is once again nominated for her leading performance, and again in the separate Best Actress in a Comedy category.
"I'm so very happy that you won this evening", Gaga told Close, 71, after the two shared a warm embrace.
Bale beat A Star Is Born actor and director Bradley Cooper to the overall best actor prize.