Simon Church and Lee Hodson were both involved in important matches for their respective loan clubs on the weekend.
Although the Dons’ hopes of finishing in first place were slim, a positive result at Celtic Park would have, at the very least, delayed the hosts’ celebrations.
However, the Bhoys ran out to a three-goal lead which Aberdeen couldn’t overturn despite a determined second-half fight-back which saw them close the deficit to 3-2.
Church started the match but was forced off just before half-time with an injury, one which he’ll be hoping to shake off in time for Aberdeen’s clash with Heart of Midlothian on Thursday evening.
Hodson, meanwhile, played his 13th-straight full game for Kilmarnock in their fixture with Partick Thistle.
Killie were after a win to keep their hopes of avoiding a relegation play-off alive but were beaten 2-0 by their visitors, who scored either side of half-time.
Saturday’s loss coupled with results elsewhere Hodson and Co will have to play either Hibernian for Falkirk in a play-off later this month, which will decide their top-flight fate.
They will play their penultimate regular season fixture on Wednesday away at Dundee.
Elsewhere, Kabongo Tshimanga was an unused substitute for Icelandic Premier League side Throttur Reykjavik as they drew 2-2 with KR.
Throttur twice took the lead at their Gervigrasvöllur Laugardal stadium but were forced to settle for a point, with the visitor’s final equaliser coming 10 minutes from time.
Callum Brittain, also on loan with the Reykjavik-based side, wasn’t involved.
The four above are now the only MK Dons players out on loan as Tom Hitchcock (Crewe Alexandra), Giorgio Rasulo (Aldershot Town), Harry Hickford (Hemel Hempstead Town) and Ben Tilney (Brackley Town) have all returned from their respective spells.