Maliyah was found dead in Brays Bayou on August 23, and Ervin and Thompson were both filmed by local news at the scene, overcome with emotion.
In the footage, Ervin can be seen laying on the ground as she wails over her daughter's death.
Thompson meanwhile told reporters he "felt like a father" to the girl, and claimed she had been upset because he had broken her toy box, the Houston Chronicle reported.
Thompson tried to blame a "human trafficking operation" at their apartment complex.
Police allege that at the time of the TV interview both of them knew the girl was dead.
An Amber Alert had been issued for Maliyah after Ervin said that she had left the toddler alone on the playground outside the couple's apartment for a few minutes while she cooked breakfast on August 22.
A US$150,000 bond has been set for Thompson while Ervin has been given a bonds total of US$175,000, the Daily Mail reported.
"Everyone looking stupid and looking for the baby when they knew what happened to the baby," said an upset neighbour of the couple.
MALIYAH BASS’ MOTHER AND BOYFRIEND’S REACTION: This is a video I took when Sahara Ervin and Travion Thompson showed up to Brays Bayou on August 23 when the 2-year-old’s body was being recovered. That’s Ervin on the ground. It was a chaotic scene. https://t.co/sEKmiURmykpic.twitter.com/ClRuhXHN5p