Rybakina is fresh from reaching her eighth career final in Adelaide last week before falling to Ashleigh Barty in the title match.
World number one Ashleigh Bart on Sunday won the season-opening Adelaide International trophy by defeating Elena Rybakina in straight sets.
Rogers will have a very difficult test in the second round as she is all set to face 15th seed Maria Sakkari.
Ryabinka's loss might come as a shock to some as she is ranked higher, but Pavlyuchenkova has been in good form this season.
Rybanika broke Serena twice in the second to win the match 6-3, 7-5 in one hour and 17 minutes.
The No.7 seed American overcomes a second-set deficit to book a French Open fourth-round ticket and will next face Elena Rybakina.
The Russian upsets No.3 seed Sabalenka in three sets and will next face No.15 seed Victoria Azarenka.