The 44-year-old had a three-game stint as United’s temporary boss after Ole Gunnar Solskjaer’s dismissal in 2021.
Holland worked under Gareth Southgate with England and spent several years with Chelsea, where he had major success under a number of managers.
The 55-year-old was sacked as manager of Japanese club Yokohama F Marinos in April after only four months in charge.
Woodgate worked under Carrick at Middlesbrough, while former United defender Evans will also return to Old Trafford. Binnion is already part of the club’s coaching staff.
Carrick held face-to-face talks with United officials last Thursday and is understood to have impressed chief executive Omar Berrada and director of football Jason Wilcox with his vision for the team.
The former England midfielder is set to play a 4-2-3-1 system, a move away from the three at the back set-up employed by Amorim.
Solskjaer, who has played and managed United, also held talks with the hierarchy over the vacancy.
But Carrick has been chosen given he is more of a hands-on coach than Solskjaer.
Darren Fletcher, who took charge of the games against Burnley and Brighton immediately after Amorim’s exit, will return to the Under-18s.