His decision comes a week after it was confirmed that Chiefs boss Clayton McMillan will take over from Graham Rowntree, who vacated the Munster head coach role last October.
Munster’s fit-again centre Alex Nankivell touched down in either half, but they were unable to avoid their first loss in 11 URC matches on Leeside.
It was earlier in January when RugbyPass exclusively reported that loosehead Milne and hooker Barron were set for moves to Limerick from Dublin and their summer 2025 transfers have now been rubber stamped.
Caelan Doris has been named Ireland captain for the Autumn Nations Series, taking over from Peter O'Mahony who has also been named in the squad.
Munster player ratings: Munster lost 26 - 12 to rivals Leinster in front of a league record 80,000-plus fans at the iconic Croke Park stadium in Dublin.
Leo Cullen’s unbeaten URC table-toppers defeated Benetton 35-5 last weekend in Italy and they have altered their line-up with two changes in the pack and one in the backs.
Munster returned to winning ways at a rain-lashed Virgin Media Park by beating Ospreys 23-0 in a repeat of last season’s BKT United Rugby Championship quarter-finals.
Munster legend Donncha O'Callaghan has blasted his former team following their shock to defeat to minnows Zebre Parma in Round 2 of the URC.