Shallot Oil: Heat a skillet over medium heat and add the oil. Once hot, add the shallots and cook, stirring, until golden brown and fragrant. Remove from heat and strain the oil. Keep the fried shallot crisps as garnishing.
Muar Chee Dough: Brush the pan with shallot oil to grease it. Mix glutinous rice flour, tapioca flour, water, and the remaining shallot oil until smooth.
Steaming: Pour the batter into the greased pan and steam over high heat for 15 minutes, or until fully cooked in the center. Let cool.
Roasted Peanut Mixture: In a deep dish, mix the ground roasted peanuts, sugar, and sesame seeds until well combined. Cut a small piece of the Muar Chee dough using a dough chopper and drop it into the mixture.
Cutting Muah Chee: Cut the dough into smaller cubes and coat the cubes well with the peanut mixture.
Serving: Transfer each piece of Muar Chee to a plate and serve immediately with fried shallot crisps. Use toothpicks to eat.