The TLC couple issued the challenge after defending their 22-year-old daughter Jessa, who posted what some saw as an inappropriate picture of her kissing her now-husband Ben Seewald.
Jim Bob and Michelle recreated the kissing pic on their Facebook page, explaining that "God loves marriages."
"Recently, Ben & Jessa received some criticism for posting a kissing picture," they explained. "We are so grateful they waited to share their first kiss until after marriage. We've been married 30 years and are still in love! We had fun trying to duplicate Ben and Jessa's happily married kissing picture."
Though the post received thousands of comments with pictures of married couples taking on the Duggars' challenge of smooching for the camera, according to John Becker -- who runs the LGBTQ blog The Bilerico Project
-- the photo he shared
of him and his husband of nine years, Michael, was deleted despite getting "lots of likes."
"I posted this photo of Michael and me with the following comment: 'Happily married for nearly nine years; working hard for #MarriageEquality for all loving couples. And we will win, because #LoveIsLove! #LibertyAndJusticeForAll,'" he wrote on his Facebook Tuesday alongside the kissing picture in question. "It was getting lots of likes, but the Duggars must not have liked it very much -- they pulled it down and blocked me from posting, liking, or commenting on the page altogether. How sad that they feel so threatened by other loving marriages!"
Becker isn't the only one claiming he's been banned from the Duggar page for posting a same-sex smooch.
LGBT activist Charles Chan Massey also tells RadarOnline.com
that he posted a photo of him kissing his husband Joseph Chan beneath the Duggars' challenge, and it was taken down in less than an hour.
"The caption said, 'Happily together twenty years, legally married one year because we were waiting for the laws to catch up with us, #loveislove,'" Massey tells Radar. "My post was soon deleted and I was banned from commenting, liking and posting any comments or photographs on their page."