GreenCard(US) Name change - Still married but want to change back to my maiden name.

[rigsinbait]

Name before marriage: NIKITA [Fathers Name] [Fathers Last Name]
Name after marriage/ Current Name: NIKITA [Husbands Name] [Husbands Last Name]

- I was married 5 years ago in Mumbai while my husband was on H1B. On my marriage certificate, my name was changed.
- I had to get a new passport which also reflected the changed name.
- And then, the changed name naturally got carried over to my Green Card.

We are still married. Can someone advice me about the procedure for a change of name on my green card and passport? Which one needs to be done first?

Desired Name: NIKITA [FATHERS LAST NAME] [HUSBANDS LAST NAME]

Any help will be highly appreciated!

Thanks,
N