Here is how the new beginning of Equinelantis starts in Equinelantis: The Lost Kingdom.
It was time to go, One huge Dragonar was to take the team to the surface where the RMS Titanic would pick them up.
King Solar Flare: (as the Equinelantians bestow the Diamond Necklaces to each of the team) Equinelantis will honor your names forever and always compared to my family, (to his daughters) I just wish you two could stay.
Princess Luna: We understand, Father.
Princess Celestia: But we can't leave Equestria for long, We have our own duties to attend to.
Princess Luna: And besides, Canterlot is our home now.
King Solar Flare: Say no more, I except your decision. (hugged her daughters and granddaughters) I will miss you all very much, (to his daughters) Your mother and grandparents would be proud of you both.
Princess Celestia: Thank you, Father.
As the Equinelantian children are crying, They're hugging Li'l Gideon because he was about to leave.
Gideon Gleeful: (about to cry) I'm not gonna cry. I'm not gonna to cry.
Wilhelmina Packard: Can we go home now?
Dipper Pines: Hey, Guys. Before we go, How about we take a group photo?
Scrooge McDuck: That's a wonderful idea, Dipper.
Soon, Everyone gathered with King Solar Flare for one picture taken.
Equinelantian Guard: Big smiles, Like you mean it! Now then, Say "Cheese"!
Group: Cheese!
As the picture was taken, The screen flashes into when King Solar Flare completed the construction of a stone effigy of his father to join the other past kings orbiting the Heart of Equinelantis as it once again hovers above the newly restored city.
Princess Yuna: (voice over) "Dear Journal, It was an awesome expedition to Equinelantis, I even got to meet my Grandpa, King Solar Flare for the first time. And the best part is that I got a dire wolf as a pet that I'm going to name it after my deceased Great-Grandpa, Emperor Lunarlight. Even though we're away from our own family, We'll always be together in our hearts. Your owner, Princess Yuna".
We now see King Solar Flare on the guardian of Equinelantis as we pan back to see the newly restored city as one of the Dragonars came into contact with screen we see the title "Equinelantis: The Lost Kingdom" as it fades to black ending the film.
The End