Prepare the Glutinous Rice
Thoroughly rinse the glutinous rice in cold water until the water runs clear, removing excess starch. Transfer the rice to a rice cooker or pot and add the measured 2 1/4 cups of water. Cook until the rice is fully done and tender, which typically takes about 20-25 minutes in a rice cooker or 15-20 minutes in a covered pot on the stovetop.
Make the Coconut Syrup
In a large saucepan, combine the coconut milk, 1 cup brown sugar, and salt. Bring the mixture to a gentle simmer over medium heat. Stir continuously to prevent burning and help dissolve the sugar. Continue cooking until the mixture thickens slightly, about 8-10 minutes.
Combine Rice and Coconut Mixture
Add the cooked glutinous rice to the thickened coconut milk mixture. Reduce the heat to low and cook, stirring frequently to prevent sticking. Continue cooking until the mixture becomes thick, sticky, and most of the liquid has been absorbed, approximately 10-15 minutes. The mixture should be cohesive and hold together well.
Prepare the Latik
In a separate pan, simmer the coconut cream over medium-low heat, stirring occasionally. As the cream reduces, it will separate into oil and solids. Continue cooking until the solids turn a golden brown color, forming crispy curds called latik. Carefully drain the latik from the oil and set aside to cool and crisp up further.
Assemble and Finish
Transfer the coconut rice mixture to a greased 9x9 inch baking pan, spreading it evenly. Sprinkle the prepared latik and the additional 2 tablespoons of brown sugar over the top. Allow the cake to cool completely before cutting into squares or rectangles for serving.