Doncaster go into half time a goal up thanks to a well-taken Nathan Tyson chance.
Doncaster started vigorously with Harry Forrester impressing in attack. Tyson opened the scoring in the 22nd minute, poking the ball home after Forrester's initial shot was fumbled by Artur Krysiak.
Forrester continued to win Rovers attacking free kicks, including one that allowed Paul Keegan to come close with a dangerous header.
AJ Leitch-Smith then had to come off with a leg injury, as the closest Yeovil came to a goal was a blocked Gozie Ugwu shot, before having to head down the tunnel 1-0 down.
