The organising brain behind TMS, Baxter has produced the programme for 29 years.
He joined the BBC in September 1965 after a spell in British Forces Broadcasting.
In tandem with his work on cricket he was also the University Boat Race producer throughout the 1980s.
Baxter has co-ordinated the BBC's cricket coverage from every one of the Test-playing nations, with the exception of Bangladesh, and is also part of the commentary team on occasions.
There have been many amusing moments over the years, but being locked out of the ground at Galle two years ago was not one of them.
BBC cricket correspondent Jonathan Agnew eventually watched the action from a nearby fort.