The mass-market beauty company had $96.8 million in sales for the first half of 2016.
Rights groups applaud the decision as a victory for individual and religious freedom.
The Japanese fast-fashion chain, owned by Fast Retailing Co. Ltd., will enter its 18th geographic market this fall.
Liverpool acquired Suburbia for 19 billion pesos, or $1.04 billion.
The first two shows will be held in March and October 2017.