It was a hugely important goal for Ralf Rangnick's side, who had been on the back foot for the vast majority of the tie.
Joao Felix gave Diego Simeone's side the lead with a brilliant diving header from Renan Lodi's near-post cross.
Elanga came off the bench for Marcus Rashford in the 75th minute and made an impact five minutes later by running onto Bruno Fernandes' through-ball to beat Jan Oblak.
Savage was calling the goal live while on co-commentary duty for BT Sport and was full of praise for the 19-year-old striker.
Elanga has won the trust of interim manager Rangnick, who has now used him in 11 successive games, either as a starter or off the substitutes' bench.
The goal in Madrid was his third in 14 appearances this season and his second in successive games, following his strike in the 4-2 win over Leeds.
Former United midfielder Scholes praised Rangnick's decision to bring Elanga on, but thought his goal owed a lot to good fortune.
Elanga was delighted with his goal, which came from United's first shot on target and, he believes, his first touch.
George Miller scored twice, either side of a wonder strike from Harrison Biggins, before Grimsby striker John McAtee marked his return from injury with a late consolation.
For the opener, Miller drifted wide and delivered to Kyle Knoyle who was denied by Max Crocombe, but his team-mate was on hand to convert the rebound.
Grimsby pushed for a leveller as Harry Clifton dragged wide from 25 yards before the same player passed up a golden one-on-one chance after racing clean through.
At the other end, Miller took aim shortly before half-time, but got too much elevation on that attempt as Crocombe went untroubled.
Biggins produced a sensational half-volley to make it 2-0 shortly after the restart and that meant Grimsby had to throw caution to the wind.
But in doing so, they left themselves open to the counter-attack with Miller slotting home his second for Doncaster before McAtee came off the bench to reply.
Goal! Grimsby Town 1, Doncaster Rovers 3. John McAtee right footed shot from the centre of the box to the bottom right corner. Assisted by Gavan Holohan.
hadde etablert seg som store
Blues har bare vunnet en av de fem siste Premier
det resultatet betyr at hvis kjøpe fotballdrakter bare 48 timer tidligere
Blues har bare vunnet en av de fem siste Premier League-kampene, og
led tre nederlag på den tiden, etter å ha trukket 1-1 med Dean Smiths
Aston Villa i form mandag kveld da Anwar El Ghazi avbrøt Olivier Girouds
header .
Det resultatet betyr at hvis Liverpool slo Newcastle på St James
'Park onsdag, kan Chelsea slippe ni poeng bak serielederne etter 16
kamper.
norge drakt
På vei inn i sammenstøtet med Villa, antydet sjokkrapporter fra
Tyskland - det samme utsalget som brøt nyheten om Paris Saint -Germain
om at Thomas Tuchel ble sparket - Lampard kunne bli sparket hvis Villans
skulle vinne i går kveld.
nueva Camisetas Fútbol
Rapporten antydet at Tuchel, sparket av PSG på julaften, blir sett på
som et alternativ hvis Chelsea -eieren Roman Abramovich velger å skille
seg fra Lampard.
real madrid drakt barn
Men deres nåværende spor har undergravet fremgangen til Londonboerne,
som hadde sett ut som om de hadde etablert seg som store
tittelkonkurrenter de siste ukene.
Nuova Maglie Da Calcio Basso Prezzo
Likevel insisterer Amazon Prime -ekspert Townsend, som tilbrakte tre år
som spiller i Chelsea mellom 1990 og 1993 og gjorde over 100
opptredener, at Blues ikke er i noe skikkelig rot.
Lampards side produserte en mye bedre prestasjon mot Villa til tross for at de ikke vant, etter å ha blitt godt slått av rivalene Arsenal på Emirates bare 48 timer tidligere.