A method for producing a frozen food includes heating food, such as by grilling. The food is dipped in a sauce to provide a flavored sauce, such as a charcoal-flavored sauce. The food is preferably dipped in the sauce from one to ten times. The food is preferably packaged with the flavored sauce, and is steamed. Preferably, the food is steamed with the sauce at a temperature from 80 to 105.degree. C. for a time interval from 3 to 60 minutes. The previously steamed food is frozen.