Launched in Kazakhstan just before 3am GMT on July 13 - three days before Armstrong, Aldrin and Michael Collins took off in a Saturn 5 rocket from Kennedy Space Center in Florida - Luna 15 was an unmanned mission, with the probe weighing 12,500lb.
NASA administrator Jim Bridenstine, standing alongside Mr Pence with Aldrin and Armstrong's son Rick, said: "Similar to the 1960s, we too have an opportunity to take a giant leap forward for all of humanity".
American Andrew Morgan, Russian Alexander Skvortsov and Italian Luca Parmitano lifted off in the Soyuz spacecraft at 2.28am AEST from the Baikonur Cosmodrome in Kazakhstan on the same date that NASA's Neil Armstrong and Buzz Aldrin landed on the moon in 1969.
Europe is to launch a spacecraft to the Moon as it seeks to become a contender in the new space race that has taken off 50 years after the historic USA lunar mission.
You can find many interesting new books celebrating the anniversary of the moon landing at your Manatee County libraries.
Cities globally have held events to celebrate the landmark anniversary - including at Nasa's visitor centre Space Centre Houston, near the site of the Apollo 11 launch.
The building is now home to NASA's Orion crew capsule, the spacecraft created to carry astronauts back to the moon by 2024 in what Bridenstine calls the Artemis program, named after the Greek goddess and twin sister of Apollo.
ESA's rover will "scout the terrain in preparation for the future arrival of astronauts, and deliver lunar samples to Earth", the agency said.
The Museum of Flight in Seattle also screened the original footage of the landing, recreating a 1969 living room complete with a contemporary TV. "This time, we're going to the moon to stay".
"It would not be at all helpful to be competing for the moon or Mars, that's very wasteful", Aldrin told the media. While everyone may remember Kennedy's 1961 speech calling for man to land on the moon, most will be surprised to learn from this book how intimately Kennedy was involved in the creation of the space program. "Is that a possibility?" the president asked Mr Bridenstine during an event in the Oval Office.
Collins, though, chimed in that he supported the idea of "Mars direct", referring going directly to Mars without first returning to the Moon.
"Artemis 1 will launch NASA's Orion spacecraft and Space Launch System (SLS) rocket around the Moon to test the system and pave the way for landing the first woman and the next man on the Moon in five years, as well as future missions to Mars", NASA press release reads.
US President Donald Trump shakes hands with Apollo 11 crew member Buzz Aldrin on July 19, 2019, at the White House in Washington, DC, during a ceremony commemorating the 50th anniversary of the Moon landing.