The former UP chief minister charged that Gehlot was making political statements that were irresponsible and unsympathetic.
"This is highly shameful," Mayawati said in a tweet.
She demanded that Gehlot be dismissed and replaced by a new dispensation otherwise more women will lose their children.
At least 100 infants have died at a government-run hospital in Kota in the past month.
Uttar Pradesh Chief Minister Yogi Adityanath and the BSP chief had on Thursday targeted the Congress over infant deaths, suggesting that party leader Priyanka Gandhi should have gone there to console the children's mothers instead of "playing politics" in UP.