Later, she left the show, and her daughter, Puerto Rican television host Myraida Chaves (1960-2021), took over, playing "Estrellita Galaxia" ("Little Galaxy Star").
As the 1970s came about, there was an actors' strike in WAPA-TV, and the whole cast of comedians of Tommy Muñiz Productions, to which Awilda belonged, created a new company, called ASTRA.
She also starred in the celebrated Puerto Rican Spanish-language production of 40 Carats (40 Kilates), co-starring her own daughter Myraida Chavez.
She impersonated Puerto Rican celebrities such as Myrta Silva, Carmita Jiménez, Lucecita Benítez, Yolandita Monge, and Nydia Caro, among many others.
Later, Carbia accepted an offer from actress and producer Lucy Boscana, to perform opposite her in a leading role in a dramatic television mini-series.
She starred as Miss Adelaide in the 1991 Puerto Rican revival of Guys & Dolls, opposite Ivan Rodríguez as Nathan Detroit, Osvaldo Ríos as Sky Masterson, and Cristina Arzuaga as Sarah Brown.
In 1998, she performed the multiple leading roles of the Puerto Rican comedy play Lo Mejor está por Venir (The Best is Yet to Come), portraying three different women characters.
Al derecho y al revés (Noises Off), Salvemos los delfines (Let's Save the Dolphins), Cosas de papi y mami (Daddy & Mommy's Ways), Teatruras de gala (Gala Ball of Theatrical Things), Morisquetas, (Grimaces) and Nacionalmente correcta ("Nationally Correct") were among the theater productions in which Carbia performed as the leading lady.