Yes. Tylee and JJ are on the National Center for Missing and Exploited Children website. They wouldn't be on NCMEC unless there is an official missing persons case number opened by LE:
Have you seen this child? JOSHUA VALLOW
Have you seen this child? TYLEE RYAN
Same with NAMUS - they don't publish a missing person case online until they check with LE to make sure it is an active/open missing person case.
All that said, Lori is not the one who reported her kids missing. Despite the fact that one of her many false stories to LE was that Tylee took JJ and ran away, she never reported the kids missing. LE had to open a missing persons case on behalf of the kids without their mother's cooperation. Everyone should let that sink in. It's never good news when the sole living parent doesn't report her children missing and then refuses to cooperate with LE. She has also made things worse for herself by fleeing to Hawaii with her new husband and not even acknowledging her kids are still missing. She thinks she is being smart and that if she stays silent now it will look like she knows where they are/they are ok. But she has already told too many lies IMHO to make that believeable. First the kids are dead/non-existent (said to family members after she married Chad). Then LE comes knocking and the story is the kids are in AZ with a friend (or rather just JJ is said to be there since he was the only one LE asked about at first). But the kids were not there in AZ. Then she claimed Tylee took JJ and ran off, but she's not concerned and not coming back from her extended Hawaii vacation with husband number 5. And she blows off the reporter asking questions/trying to help find her kids and doesn't even take an opportunity to say she loves her kids and hopes they are somewhere safe. Nor does she take the opportunity to clarify that the kids are safe and she believes it's no one's business where they are located. All of this is adding up to a very bad outcome for those kids. MOO.