Abejo has received a number of honours, including the Republic Culture Heritage Award (1967), Philippines' Independence Day Award (1973), and being elected President of the Philippine Foundation of Performing Arts in America in 1980.
Abejo on saanud mitmeid auhindu, sealhulgas Vabariigi kultuuripärandisse auhinna (1967), Filipiinide "Iseseisvuspäeva auhinna" (1973), ta valiti presidendiks Filipiinide Sihtasutus Performing Arts in America 1980.