El-Hadji Diouf received a needless booking for dissent on 16 minutes, as the match became ever more competitive.
It was Rangers who took the lead on 19 minutes when Jelavic bulleted home a header from El-Hadji Diouf's free-kick.
Bolton created several chances and Petr Cech denied Kevin Davies, El-Hadji Diouf and Nicolas Anelka, while Stelios Giannakopoulos clipped the crossbar.
El-Hadji Diouf had given Bolton a first-half lead, blasting home from four yards out after Taylor had kept out an Okocha volley.
El-Hadji Diouf replaced Jelavic for the closing stages and set up Weiss for a shot that required a last-ditch save by Forster.
Blackburn defeated Wolverhampton Wanderers 3-1 with El-Hadji Diouf, Jason Roberts and David Dunn scoring before Stefan Maierhofer scored a late consolation for the promoted visitors.
El-Hadji Diouf equalized for the home side in the 70th minute when he rose above Paulo Ferreira to cleverly direct Michel Salgado's cross past Petr Cech.
Keane has had a busy summer in the transfer market, signing experienced Premier League players such as Pascal Chimbonda, Teemu Tainio, El-Hadji Diouf and Steed Malbranque.
Keane has also signed forward El-Hadji Diouf from Bolton as he changes the look of his side that finished 15th in the Barclays Premier League last season.
After Gavin McCann's heavy tackle on Bacary Sagna, for which he was cautioned, tempers flared between Cesc Fabregas and El-Hadji Diouf and they had their names taken too.
It was Sunderland who created the best chances in a first half devoid of great quality, with El-Hadji Diouf in lively form on his debut against his old employers.
Rangers players El-Hadji Diouf and Madjid Bougherra have also been informed that they will be referred to the SFA's disciplinary committee on 12 April, for 'misconduct of a significantly serious nature'.
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Rangers' forward, El-Hadji Diouf, who was the last player to be sent off after the final whistle for dissent, was involved in a touch-line spat with the Celtic coaching team in the first half.
Heskey's strength in possession almost brought the breakthrough for Liverpol when he held off Cunningham to feed El-Hadji Diouf, whose low cross was punched away from Pongolle's lunge at full stretch by Ian Bennett.
Bolton did finally create a decent chance on 35 minutes, although it was more by luck than judgement with Kevin Davies's mishit shot ending at the feet of El-Hadji Diouf only for the Senegal striker to fire high over the bar.
BBC: SPORT | Football | Europe | Rabotnicki Kometal 1-1 Bolton
Rangers had three players - Steven Whittaker, Madjid Bougherra and El Hadji Diouf - shown red cards, while Lennon had a heated exchange with opposition assistant manager Ally McCoist on the touchline at the final whistle.
It has been reported that officers had "at least 50" targets connected to comments about various individuals, including Lennon and El Hadji-Diouf.
El Hadji-Diouf's petted lip, Majid Boughera's curious attempt to get the referee to re-pocket his red card, and the squaring up of messrs McCoist and Lennon in what looked like an invitation to meet behind the sheds after school, were moments of lunacy.
Eight minutes later, Lamine Diatta, captain in place of injured El Hadji Diouf, made it 3-1 as Mali goalkeeper Mahmadou Sidibe woefully spilled an innocuous Senegalese free-kick.
Perhaps with one eye on Sunday's Co-operative Insurance Cup, Rangers manager Walter Smith elected to keep Allan McGregor, Naismith and El Hadji Diouf on the bench.
Meanwhile, Weir was keen to draw a line under the fall-out from Wednesday's controversial Old Firm game, which featured red cards for Bougherra, El Hadji Diouf and Steven Whittaker and an angry touchline exchange between Rangers assistant manager Ally McCoist and Celtic boss Neil Lennon.
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