During the speech, Trump repeated false allegations that the election was 'rigged' and allegations that he only lost to Joe Biden due to widespread election fraud - though no evidence has ever been provided.
In other videos posted from the same speech, Trump tells his supporters that he would be leaving the Mar-a-Lago club for the Summer - and plans to return in October.
The ex-president also revealed he will be moving to his golf resort in Bedminster, New Jersey for the summer.
'Let's see what they find. I wouldn't be surprised if they found thousands and thousands and thousands of votes,' Trump says in the videos, which were taken during an event to endorse Rep. Billy Long.
'We're going to watch that very quickly and, after that, we'll Pennsylvania, we'll watch Georgia, and you're going to watch Michigan, and Wisconsin, and New Hampshire.'
He went on: 'This was a rigged election and everybody knows it and we're going to be watching it very closely.'
Trump also claimed in the speech that 'they found a lot of votes in New Hampshire just now' – though it was not immediately clear to what he was referring.
In April, New Hampshire Gov. Chris Sununu signed a bill authorizing an audit of how votes were conducted in Windham pertaining to four seats in the state's House of Representatives.
Arizona's recount started last Friday after the state's Republican-led Senate hired a Florida company to conduct the audit.
Doug Logan, the CEO of Cyber Ninjas, is overseeing the audit despite the company having no experience working elections. Forbes revealed that Logan has spread outrageous conspiracy theories that a company tied to Hugo Chavez, the long-dead Venezuelan dictator, rigged voting machines against Trump.
The audit, which is expected to conclude May 14, is only looking at votes cast in the presidential and U.S. Senate races, which were won by Democrats.
Anthony Kern, a former member of the Arizona House of Representatives who lost his seat in the election, was pictured by the Arizona Republic taking part in the recount. The reporter who took the photo was then escorted out of the facility and told his press credentials were revoked for taking the photo, the outlet reported.
Trump's move to Bedminster seems to be coming quickly after the former president faced backlash for declaring Mar-a-Lago his official residence, rather than New York City, after Biden's inauguration.
The 'Winter White House' closes after Memorial Day when the weather in South Florida becomes hot, Insider reported.
Living in New Jersey will also allow Trump to conduct business dealings and easily meet with New York political donors.