Hi lovemia, it really depends on who is forking out the money for the banquet. For some traditional families, the groom's side are the ones who pay for the banquet, and a few tables are "given" to the brides' family to invite their relatives and friends. The angbaos for these "given" tables then go to the bride's family. Other angbaos from the banquet usually go back to the groom's family.
However, if you and your partner are the ones paying for the banquet, it is reasonable to discuss with your parents that the angbaos should be returned to you to cover for the banquet expenses. If not too many relatives are invited, you may consider leaving a portion of the angbaos with them, or let them keep whatever angbaos are given to them directly by the friends and relatives. This is done to show respect and as a gift for the parents to thank them for raising you up. of course, this is optional depending on your financial capabilities. Hope this helps!