The pair limped off in the first half of Saturday’s 1-1 draw with Carlisle and are waiting on scan results to discover the extent of their injuries.
Left-back Dean Moxey could slot in at central defence for the Sky Bet League Two clash if skipper Moore-Taylor is ruled out by a knee injury.
Teenage defender Kane Wilson is available after suspension as Exeter seek to avenge league and Checkatrade Trophy defeats to Yeovil earlier this season.
Glovers boss Darren Way has no new injury concerns as Yeovil seek to end a run of four straight defeats in all competitions.
But there could be changes with Marcus Barnes and Rhys Browne pushing for starts at St James Park.
Brazilian midfielder Alefe Santos has also recovered from illness after missing the weekend home defeat to Newport.
Oscar Gobern, Artur Krysiak, Dan Alfei, Nathan Smith, James Bailey and Jake Gray remain out.
Southampton manager Mark Hughes was delighted to see his new side reach the FA Cup semi-finals but also warned that the Premier League remains a concern.
Borussia Dortmund winger Andre Schurrle was delighted with the team's hard-fought 1-0 Bundesliga victory over Hannover 96 on Sunday afternoon.
Chelsea defender Andreas Christensen has revealed that he sought advice from club legend John Terry after making a few costly mistakes recently.