The previous record was held by Detroit Tigers pitcher Mickey Lolich and catcher Bill Freehan between 1963-75.
Wainwright and Molina made their first start together on April 6, 2007, with Wainwright throwing seven innings of one-run ball in a 4-2 victory over the Houston Astros.
''A lot has taken place in that time span and that's why I think this record is pretty darn cool,'' St. Louis manager Oliver Marmol said before the game. ''I don't see anyone coming close to ever reaching it again.''
Wainwright and Molina are unlikely to add too many more starts to their record as the 40-year-old Molina is planning to retire at the end of the season.
The 41-year-old Wainwright has yet to decide on if he’ll pitch in 2023.