Justina Machado didn’t realize she yearned for a show with people that looked like her — mostly because it just wasn’t the norm.

“That’s why ‘The Cosby Show’ for me was so important because I had never seen a family like that on television that wasn’t Caucasian, and I was like, wow,” Machado recalled recently. And it’s why she was watching Jimmy Smits on “L.A. Law” in her youth, despite the adult subject matter.

“I did yearn for it, but I didn’t know,” she said, referring to the lack of shows with Latino characters. “I had no idea (it was possible).”

It was, and it is. And she’s helping contribute.

Machado stars in Netflix’s reboot of Norman Lear’s classic sitcom “One Day at a Time.” The revamped version is set in Los Angeles’ Echo Park and centers on three generations of a Cuban-American family.

The 44-year-old actress, who until now was best known for her role on “Six Feet Under,” stars as Penelope, a war veteran and recently single mother of two children whose mother (played by Rita Moreno) lives with her. The following is an edited transcript.

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Q: What was your initial reaction to Netflix doing an all-Latino version of the series? Were you nervous, hopeful?

A: I think I felt confident. I didn’t know (co-showrunners Gloria Calderon-Kellett and Mike Royce). But I was confident, because it was Norman Lear, that it was going to have a lot of heart, and it was going to have a lot of laughs, and it was going to be something that I wanted to be involved in. And then when I got the script, I knew we were on the right track because this was a story that was universal and we weren’t the butt of every joke. Our ethnicity wasn’t what drives the show.

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Q: Did you watch the original?

A: I watched reruns of it when I was growing up, but by the time I started watching it, the girls were already older, and so I didn’t really get what everybody loved about it. But what I did do, when I had my first audition, was see the show. I went home and watched it, and that gave me a lot of permission.

Q: After 20-plus years in the business, this is your first lead role.

A: It’s funny because I did get a lead role in the late ’90s, and it was a show called “I Love Lupe,” and it was a fantastic pilot, and one of the things that was said to me, when it didn’t get picked up, was that they didn’t think America was ready for a Latino family. I was so young back then, it was kind of a shocking thing to hear, but I just had to keep hustling, you know? And it’s amazing that it’s taken this long to have another lead. I almost thought it wasn’t going to happen.

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Q: How does it feel to play a version of the all-American mom?

A: I think it’s about time. It’s like, yes, this is a universal story, it’s being told through Latino eyes, and we’re trying to change — you know, as other shows are — the Latino narrative that’s being put out there. So I think it’s fantastic.

yvonne.villarreal@latimes.com