This is a Facebook posting from the page for the municipal animal shelter facility in Benton, KY. I checked the “About” information and it is indeed the pound’s page, not a “Friends of” or other type of page. The pound is closed on weekends.
I can’t speak for anyone who may have posted their pets in need of rehoming on the Marshall Co pound’s page, but experience tells me that these type of posts are often made by caring people who don’t want their pets to go to the local pet killing facility. In other words, these are people trying to find alternatives for their “furbabies” so they don’t end up “sitting in a kill shelter”.
A smart shelter is going to encourage and provide a place for these type of posts, even if it’s not on the facility’s FB page. By publicly shaming people who may not know where else to turn for help rehoming on their own, the pound is increasing intake and decreasing community support. Which will result in more killing. It is odd behavior for a pet killing facility because you know, nobody wants to kill animals. Or so I’ve heard.