Former Doncaster defender Spurr arrives at Rovers on a two-year deal, while midfield ace Cairney joins on a six-month loan from Premier League new boys Hull City.
Shaw says the Board will continue to back manager Gary Bowyer in the transfer market, but won’t pay over the odds for potential targets.
“We are delighted to welcome Tommy and Tom to the club, and we believe that they will be great additions to the squad,” said Shaw.
“They are both very talented individuals, they are a good age and they are hungry to succeed. Both players tasted promotion with their respective clubs last season and they are eager to enjoy similar success here at Ewood Park.”
Referring to the Spurr signing, Shaw added: “I am extremely surprised that Doncaster have stated that it’s a ‘multi-million pound’ deal, because I can assure our supporters that it is not.
“We are trying to bring wages under control because of the new Financial Fair Play regulations, whilst at the same time we want to support the manager, as he looks to assemble a squad that can challenge for promotion.
“Tommy was out of contract and where Doncaster had got to with talks I don’t know and it is not our concern. It is a deal we are all happy with and we wish him well.”