Elmander needed five stitches in a head wound after contesting a header with the Manchester United defender.
Bolton's Johan Elmander fired over early in the match, while Martin Petrov went close with a low drive.
Elmander then rounded Tim Krul to score his opener before Andy Carroll reduced the deficit with a low drive.
Sublime skill from Johan Elmander, who jinked past three defenders, made it two and Stuart Holden drilled a third.
The home side had plenty of possession and six minutes from time substitute Johan Elmander fired in the second.
Coyle responded with a double substitution, introducing Riga alongside fellow striker Johan Elmander.
Frank Lampard hit the post and Terry fired wide, while Johan Elmander should have levelled but wasted a header.
But it was Elmander who did the damage on the stroke of half-time.
Coyle was particularly delighted for Elmander, whose brace came two days after his wife gave birth to a baby girl.
Bolton striker Johan Elmander struck a minute before the break with a volley into the top corner to claim the win.
Elmander poked in and Davies scored his second penalty against a Newcastle side who had Fabricio Coloccini sent off for elbowing Elmander.
Unfortunately, Mark Davies was unable to follow up Elmander's deft lay-off with an accurate finish and Turnbull was able to save comfortably.
Johan Elmander was introduced by Bolton at half-time to spark some life into the visitors, and he almost made an immediate impact.
The former Newcastle player then charged down an Elmander volley moments later.
The South Korea goalscorer has been exceptional this season as has Elmander who added a third and his seventh of the campaign after the restart.
Johan Elmander earlier hit the inside of the post for Bolton.
Taylor was involved again as a move on the edge of the box led to Johan Elmander poking a shot straight at Robinson after 25 minutes.
The opening goal underlined the flourishing of the partnership between Davies and Elmander and spoke volumes for the makeover Coyle has given Bolton's style of play.
After a dull first half, the visitors took the lead when Elmander received a cushioned pass from Kevin Davies and fired in his fourth goal of the season.
But Elmander restored the three-goal cushion with his eighth this campaign when he outmuscled a hapless Coloccini and raced into the area before beating the onrushing Dutch Magpies keeper.
After an uneventful first half, Bolton took the lead through Johan Elmander and could have gone 2-0 in front when Martin Petrov fired wastefully wide when through on goal.
The match started with a bang when Kevin Davies flicked the ball on to fellow striker Elmander, whose shot was deflected over the bar by Wigan goalkeeper Mike Pollitt.
But Bolton never gave up hope and really should have equalised in the dying minutes when Elmander headed limply wide before Ivan Klasnic shot across the face of goal.
An effort from Taylor came back off the underside of the bar and substitute Johan Elmander sent a close-range shot over before Cahill nodded his sixth goal of the season.
Gomes was again at fault as he came to collect a Bolton cross and fumbled with the ball falling to Johan Elmander whose shot was brilliantly cleared off the line by King.
The home side still needed the security of a second goal and it arrived after more good work from Lee, who scooped a pass to Elmander for a repeat of Steinsson's well-worked effort.
Elmander, who started in place of the injured Christian Wilhelmsson, was troubling Spain down the flank but was lucky not to concede a penalty for a nudge on David Silva just before halftime.
Bolton suffered a setback when striker Johan Elmander had to hobble off injured but a sign of their tactics came as defensive midfielder Gavin McCann was brought on in place of the Swede.
Van der Sar was equal to Petrov's free-kick, Johan Elmander had a shot blocked by Patrice Evra and the backline, well led by Chris Smalling, was forced to repel a wave of Bolton attacks.
Only Chung-Yong Lee down their right seemed capable of upping the tempo and his dangerous cross was crucially headed away by Gary Caldwell, with Johan Elmander all set to nod home from three yards.
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