Leaders like Barry Ferguson and Fernando Ricksen have gone missing as team confidence crumbled.
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Advocaat, 60, also said he was surprised that Barry Ferguson was still a Rangers player.
Blackpool manager Ian Holloway and captain Barry Ferguson were sent off as Birmingham cruised to victory.
Rangers were also without Scotland duo Barry Ferguson and Colin Hendry as well as Italian defender Sergio Porrini.
With Barry Ferguson leaving, Kevin Thompson will be be the player to watch if he can stay fit.
Out of nowhere, Rangers drew level when Barry Ferguson's floated crossfield pass picked out Burke on the right.
McGregor and former Rangers team-mate Barry Ferguson were axed following the 'Boozegate' scandal affair while on Scotland duty.
Rangers' Jean-Claude Darcheville forced a good save and a Barry Ferguson snap shot struck the outside of a post.
Barry Ferguson - Started brightly but may have still been suffering from the hip injury that made him a pre-match doubt.
Meanwhile, the rift that has threatened to develop between Le Guen and his captain, Barry Ferguson, was dismissed by the Frenchman.
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The free kick was a result of a bad challenge by Russell Anderson on Barry Ferguson in which the young Aberdeen defender came off worst.
He was handed the captaincy for the closing weeks of the season after Barry Ferguson was dropped from the first team for a breach of discipline.
And midfielder Barry Ferguson, a summer signing from Birmingham, opened his account for the Tangerines with a fine finish from 12 yards on the hour mark.
And he added that any decision to welcome banned duo Allan McGregor and Barry Ferguson back into the Hampden fold would be up to the new manager.
But first-half goals by Barry Ferguson, Eric Lavine and Alan Kirby decided the issue as Derry ended with 10 men following the sending off of Gary Beckett.
Darcheville threatened first of all at the near post and was denied by Malafeev before captain Barry Ferguson claimed his rebound shot in front of goal was handled by Denisov.
The visitors thought they had won a corner, but Rangers broke clear and, after a superb move, a deflected effort from Barry Ferguson was cleared off the line by Stephen Craigen.
Birmingham had Barry Ferguson to thank for clearing the ball off Utaka's head after a knock-back by the impressive Piquionne, before Seb Larsson forced James into a tip-over at the other end.
Now though, it is expected the former Lyon player will line up in central midfield alongside club captain Barry Ferguson as the Ibrox side attempt to recapture the championship from rivals Celtic.
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But while even the best of those players - Barry Ferguson to take an obvious example - were publicly supportive of Vogts, reports of bafflement in the dressing room did not go away.
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Too many players seem unsure of their roles and what exactly is expected of them, with Barry Ferguson already insisting that Vogts cannot be given an infinite amount of time to produce a winning team.
Rangers manager Walter Smith had been forced to name a makeshift line-up with seven players missing through injury and Barry Ferguson and Allan McGregor still under a club suspension for their misbehaviour while with Scotland.
Birmingham's only lapse occurred later in the second half when Barry Ferguson, under pressure from substitute Roque Santa Cruz misplaced a back-pass straight to Tevez, but the striker shot past the far post from 10 yards.
It was the home support's turn to be incensed when Thomson blew his whistle for a head knock suffered by Derek Young as Barry Ferguson continued the play by slotting the ball into the net from 22 yards.
The only negative of Rangers' night in Lisbon was the bookings of captain Barry Ferguson and fellow midfielder Kevin Thomson, who will be suspended for the first leg of the semi-final against Fiorentina at Ibrox on 24 April.
Barry Ferguson, who was deposed as Rangers and Scotland captain in April was introduced as a substitute for Miller before Boyd's replacement Nacho Novo drew a save from goalkeeper Lukasz Zaluska, playing his last match for Dundee United ahead of a summer move to Celtic.
Barry Ferguson - who had been impressive in midfield - should have done much better when set up by the industrious Darcheville, but the Ibrox captain blasted the ball well over from a good position, before Adam passed up a set-piece from 20 yards out.
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