1:53 PM  PST -- The family just posted a second video of the little girl ... saying despite what the internet might think, they were NOT the ones who gave her the Slim Tea. Instead, they say it was sent from a "supporter" of their video page.

A clip of parents hoping to motivate their young daughter to lose weight -- by gifting her Slim Tea for Christmas -- is repulsing people viewing the clip on social media.

Take a look for yourself -- the excited youngster unwraps the gift to unveil a box of the slimming aid ... she's clearly too young to understand what it is, though her older siblings immediately catch on, and throw their parents looks of disgust.

Despite the siblings knowing the gift is inappropriate for a young child -- the dad behind the camera is undeterred, as he urges his youngest to be grateful for the gift.

The video shared to X drew intense scrutiny ... with one person commenting the parents bullying the girl for her weight was disgusting, as they were the ones responsible for feeding her in the first place.

Others say they've taken her childhood away from her ... making her aware of her body from a young age, and entitling people to comment on it by sharing it on social media.

When it comes to slim teas, the FDA doesn't recognize them as being effective -- and its key ingredients like caffeine and senna, which claim to detox the body, also don't have much evidence in aiding weight loss.

So, the video's disheartening on several levels -- the parents providing misinformation and possibly poor nutrition, but also the psychological impact on their young daughter.