In a statement released to "Access Hollywood," Lohan's mother, Dina said, "We have a great respect for Jay Leno, but we are disappointed in the path he chose to allow a guest to make light of a very serious situation concerning Lindsay. Thank you to Craig Ferguson for not making a mockery of such a serious situation to which teens and young adults are facing across the country. – Dina and Family"
On Tuesday, Schneider walked onto Leno's stage dressed as Lohan, with a black dress, blonde wig and a faux alcohol monitoring bracelet.
When Leno asked the comedian what was on his ankle, Schneider pulled off the bracelet and drank from it as of it were a flask. "Let's see what we got here, baby," he said.
Photos: Lindsay Lohan
When Leno asked what his favorite film was up until this point in his career, Schneider responded, "I kinda like 'Herbie Fully Loaded,'" to which the audience laughed. "Herbie was the car, I was fully loaded," Schneider said.
Back in February, when Britney Spears shaved her head, Ferguson, host of the "Late Late Show," said he wouldn't crack jokes at the expense of the embattled pop star.
A rep for "The Tonight Show with Jay Leno" said the show was not commenting.