I believe Shawty is confused because, as Wikipedia summarizes at the outset:
Sprout (formerly PBS Kids Sprout) is an American digital cable and satellite television network that is owned by the NBCUniversal Cable subsidiary of NBCUniversal. It replaced the PBS Kids channel on some cable and satellite providers.
So ... yes, what is now just called "Sprout" did have "PBS Kids" as part of its name from when it first launched in September, 2005 until November, 2013, and only truncated the name at that point because NBCUniversal bought out PBS' interest in the channel.
What I don't get is why it took Shawty a year and a half to notice the network had gone cable-only.