In the week Luai agreed to join the PNG Chiefs for the start of the 2028 season, the May brothers have confirmed they will remain at Concord until 2030.
Prop Terrell and centre Taylan were both free to entertain offers from the Chiefs when they entered the final 12 months of their existing deals on November 1.
The pair have both signed three-year deals,announcing their decision to stay loyal to Benji Marshall.
"We're so happy to have Terrell and Taylan locked in with us long term," Marshall said.
"They both bring so many things on and off the field to our club . I love who they are and what they stand for.
"What's clear with both boys is they are 'all in' and committed to where we are heading as a club and are both integral parts of our team."
Taylan's re-signing caps an encouraging turnaround for the one-time Penrith prodigy.
He was sacked by the Panthers in 2024 over several off-field incidents and has rebuilt his career at the Tigers, while seeking professional help following a bipolar diagnosis.
Terrell, meanwhile, has been one of the NRL's standout props since landing at the Tigers at the start of last season.
He has declared his intention to win State of Origin selection for NSW this year, arguing in an interview with AAP earlier this week he had come on leaps and bounds in the last 12 months.
"We love it here and to have our future secured at the Tigers until 2030 is something special," Terrell said.
"Family is so important to us and it's something that drew me to the club in the first place.
"I can't speak highly enough of Benji and the staff for the support they give us to be ourselves on and off the field."
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