Lewis struck 58 off 26 balls, including five sixes and as many fours in a West Indies' total of 199 for four with Marlon Samuels contributing 43 and Denesh Ramdin 44 not out.
Badree then took two wickets in his first two overs for the reigning World T20 champions before finishing with figures of two for four as the West Indies proved too strong for a World XI.
Sri Lanka's Thisara Perera made a fine half-century, his 61 coming off 37 balls but the World XI never had any chance of winning this match after slumping to 8-4.
Shahid Afridi set to lead World XI in charity match
But he was the only World XI player to score more than 12.
And, with Tymal Mills unable to bat, the World XI were all out nine wickets down when Mitchell McClenaghan was dismissed with the team on a total of 127.
Kesrick Williams took 3-42 and Andre Russell 2-24 in a charity match to raise funds to rebuild cricket grounds in Anguilla and Dominica damaged by hurricanes Irma and Maria that swept through the Caribbean in September 2017.
World XI skipper captain Shahid Afridi donated $20,000 to Hurricane relief from his foundation, while all the players donated their match fees to the charity.
Afridi, who retired from mainstream international cricket two years ago, received a guard of honour at Lord's.
"That's something I'll never forget," said the big-hitting former Pakistan all-rounder. "For that to happen at the home of cricket, it's massive. The cause was everything tonight, and to have been able to help, it's fantastic. Thanks to everyone who came out and supported this.”
West Indies captain Carlos Brathwaite said: "For those affected by the hurricanes, there have been people left homeless, and have had their lives devastated. So it's important for those of us who can to be able to use our profile for the greater good. Hopefully there will be a psychological boost for the communities, as well as obviously the money going into rebuilding, and infrastructure and all those kinds of things."
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ