Reed was one of three LIV Golf players to finish in the top five at Augusta National.
Koepka and Mickelson climbed a staggering 432 rungs up the world golf ladder.
Reed also picked up valuable OWGR points.
Reed represents Dustin Johnson's 4Aces GC on the Saudi-bankrolled golf league.
Johnson had a week to forget at Augusta as he finished tied 48th on 8-over par.
The 4Aces are defending champions in 2023.
Reed was incidentally the only player in the field to string all four rounds at even par or better at The Masters (71, 70, 72, 68).
He finished at 7-under par for the week and five strokes behind Rahm, who became the fourth Spaniard to win The Masters.
When asked where his game needs most improvement, Reed said: "My distance wedges could probably get a little better.
"Hit too many wedge shots to 15, 20 feet rather than normally five, 10 feet. Can tighten that up."
Reed will be next back in action in Australia at LIV Golf Adelaide in two weeks' time, a week before heading to LIV Golf Singapore.
LIV Golf League 2023 Schedule:
Feb. 24-26: El Camaleón Golf Club, Playa Del Carmen, Mexico
March 17-19: The Gallery Golf Club, Tucson, Arizona
March 31-April 2: Orange County National, Orlando, Florida
April 21-23: The Grange Golf Club, Adelaide, Australia
April 28-30: Sentosa Golf Club, Singapore
May 12-14: Cedar Ridge Country Club, Broken Arrow, Oklahoma
May 26-28: Trump National Golf Club, Washington, D.C.
June 30-July 2: Real Club Valderrama, Sotogrande, Spain
July 7-9: Centurion Club, London, England
Aug. 4-6: The Old White Course, White Sulphur Springs, West Virginia
Aug. 11-13: Trump National Golf Club, Bedminster, New Jersey
Sept. 22-24: Rich Harvest Farms, Sugar Grove, Illinois
Oct. 20-22: Trump National Doral, Miami, Florida
Nov. 3-5: Royal Greens Golf & Country Club, Jeddah, Saudi Arabia
Remaining Golf Majors 2023 Schedule:
May 18–21: US PGA Championship, Oak Hill East Course, Rochester, New York
June 15–18: US Open, Los Angeles Country Club
July 20–23: The Open Championship, Royal Liverpool Golf Course