Yet Caixinha insisted he was happy with the intensity levels shown by his hapless side, whose late Kenny Miller strike was of no consolation.
"I understand that every Rangers fan would have hoped for a better season, but I don't think what they are going to achieve this season is disastrous". It is my total responsibility.
"Who are their best players this season?"
"The man responsible is me - the players did everything they worked on, they were ready to do it".
"You need to judge me all the time". I have a squad that came from a transition era, a scaling down.
"But, at the same time, we have got a guy in charge of the team who has only been there for five or six weeks".
The 2-0 half-time margin did little justice to Celtic's complete dominance and, after Griffiths had one chalked out for offside, they accepted more rewards against wholly overmatched opponents.
"We were very professional in the way we went about it".
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"Our defenders defend forward".
Boyata headed home the fourth, as Rangers proved their set-piece defending to be as effective as their efforts from open play, while Miller did what he could to lift the mood with a fine solo run and finish. However, right-back Mikael Lustig shaded it for his contribution in defence and attack, sealing the win with a well-taken fifth goal.
Up next for Celtic is a home game against St Johnstone next Saturday.
FORMER Rangers striker Steven Thompson has branded Ibrox boss Pedro Caixinha "naive" for his Old Firm tactics.
In a season full of lows, Saturday's defeat to Celtic at Ibrox may go down as one of the worst days of all for Rangers and their supporters. Drilled in his second goal of the week against Rangers, following his William Hill Scottish Cup semi-final counter at Hampden Park. 8.
"The boys feel ashamed to play a part in a performance like that". A lot of work is needed at Ibrox if they are to be realistic challengers to Celtic in the short and medium term.
JAMES FORREST (for Roberts, 72 mins): Game was over when the Scotland attacker came on. 5.
Partick v Rangers, Ladbrokes Premiership (Sunday May 7).