The photo is from the set of The Rhythm Section which is currently being filmed in Dublin. Lively and Jude Law co-star in the movie which is about a woman who seeks revenge against those who orchestrated a plane crash that killed her family.
Reynolds not only mocks his wife on social media but also likes to joke about his two daughters, James and Ines.
Back in October, Lively was asked how she feels about her hubby's jokes on social media and admitted she doesn't really keep up to date with them.
"Luckily I lost my password to Twitter like a year and a half ago, so I haven't been able to keep up," she said on the Today show last month.
"So everybody's always asking me about it, and I say 'Oh my god, he said what?!' He's so funny, so, anyway, [he needs] a lot of therapy."