The Croatian helped Djokovic claim nine of his 24 Grand Slam titles before leaving his team in March and on Friday was hired to coach world number five Rybakina for the 2025 season.
The 27-year-old began working with Mouratoglou ahead of the China Open in September last year, as she sought to reignite her career following a patchy run of form after returning to the tour from a long maternity break.
Aryna Sabalenka claimed her third Grand Slam title after winning the Australian Open twice.
Sania Mirza and Martina Hingis on Thursday announced that they will join forces once again at the WTA Finals, which is scheduled to be held in Singapore later this year.
Aryna Sabalenka took a step closer to a first trophy of the year before her Australian Open title defence begins later this month.
Three-times defending champion Iga Swiatek was bundled out of the Qatar Open by Latvian Jelena Ostapenko, who beat the Polish second seed 6-3, 6-1 in the semi-finals on Friday to set up a final showdown with American Amanda Anisimova.
Emma Raducanu beat four-time Grand Slam champion Naomi Osaka 6-4, 6-2 in their first career meeting to reach the quarter-finals of the Washington Open on Thursday.
Iga Swiatek tested positive in an out-of-competition sample in August but the ITIA accepted that it was caused by contamination of her medication melatonin.
Chennai Open back on WTA calendar after three years
Rajeshwaran shown the door at Mumbai Open
Heading into the final, Gauff had lost the first set in three straight matches and the former U.S. Open champion seemed determined to buck that trend, serving to love in the opening game and breaking early for a 2-0 lead.
The loss ends five-time major champion Swiatek's bid to become the first woman to win the tournament in the Southern California desert three times.
It was the 27-year-old Japanese player's first WTA title since she became a mother in July 2023.
Elena Rybakina powered into her first Cincinnati Open semi-final after stunning defending champion Aryna Sabalenka 6-1, 6-4 on Friday, while five-times Grand Slam champion Carlos Alcaraz recovered from a second-set blip to beat Andrey Rublev.
Andreeva bids for Paris glory after stellar start to season
Venus Williams, 45, made an age-defying return to tennis this year, becoming the oldest WTA singles match winner since 2004 in July.
Gauff seeks to eliminate service errors ahead of French Open tilt
Third seed Alexander Zverev eased past home favourite Ugo Humbert
The world number three has won eight out of her last nine matches on outdoor red clay, losing only to world number one Aryna Sabalenka in the Madrid Open final.
Jannik Sinner begins his Australian Open title defence against Nicolas Jarry while women's champion Aryna Sabalenka takes on 2017 U.S. Open winner Sloane Stephens
The US Open announced $90 million in prize money will be on offer at this year's final major, marking the largest purse in tennis history, up 20 percent from 2024.
It was an emotional win for Aryna Sabalenka, who missed Wimbledon last month due to a shoulder injury.
Germany's Tatjana Maria was named the Comeback Player of the Year after reaching her first Grand Slam semi-final at Wimbledon after missing three majors last year due to the birth of her second daughter.
Iga Swiatek arrives at the US Open with her sights set on a seventh Grand Slam title and a potential return to World No. 1 to cap what she calls a remarkable year of redemption following "the worst experience of my life".
At this year's US Open second-round match against Sorana Cirstea, Muchova broke down mid-match in a scene that was as human as it was unexpected.
MERTENS OVERPOWERS RUSE TO WIN FIRST GRASS TITLE
Sania Mirza and her Russian partner Elena Vesnina notched up a straight-set win over Ji Zheng and Peng Shuai to enter the final of the Family Circle Cup WTA event in Charleston, USA.
Venus Williams enjoyed a winning return to tennis after more than a year away from the game in the women's doubles at the Washington Open on Monday.
World No 2 Serena Williams has withdrawn from the season-ending WTA Championships in Singapore due to a shoulder injury.
World number one Aryna Sabalenka overcame a second-set fightback by fourth seed Coco Gauff to clinch her third Madrid Open.
Factbox on Belarus' Aryna Sabalenka, who beat China's Zheng Qinwen in the Australian Open final on Saturday
Following the cancellation, the Korea Open in Seoul is the only event left in Asia on WTA's provisional calendar for 2020.
Shelton blasted an ace on match point to seal the win and avenge his five-set loss to Tiafoe at last year's U.S. Open as the 22-year-old continues to make strides in his breakout season.
U.S. Open champion Aryna Sabalenka will face world number four Coco Gauff in the semi-finals of the Wuhan Open after both players earned straight-set wins in the quarter-finals on Friday.
Muguruza wins all-Spanish clash with Badosa at WTA Finals
Germany's Angelique Kerber has clinched the eighth and final spot at the WTA's season-ending championships in Istanbul later this month after reaching the semi-finals of the Linz Open.
Renata Zarazua, the only Mexican player in the US Open main draw, pulled off a stunning upset by beating sixth seed Madison Keys in the first round.
For Billie Jean King, her leading role in the foundation of the WTA half a century ago ranks above the many successes she enjoyed on court.
Iga Swiatek survived a surprise U.S. Open second-round test on Thursday as men's top seed Jannik Sinner and Japan's four-times major winner Naomi Osaka cruised through.
World Number one Simona Halep and Japan's Naomi Osaka are among the players nominated for the Women's Tennis Association (WTA) Player of the Year award.