This link does not include the Trent 882 but I would expect it to weigh the same as the other 800 series weight.
http://rgl.faa.gov/Regulatory_and_Guidance_Library/rgMakeModel.nsf/0/b443906400b2f413862572a4006eb74e/$FILE/E00050EN.pdf
RB211-TRENT 892-17, RB211-TRENT 875-17
RB211-TRENT 884-17, RB211-TRENT 884B-17
RB211-TRENT-892B-17, RB211-TRENT 895-17
RB211-TRENT 877-17
This engine approval includes bare engine plus engine mounting feet, core engine cowlings, and engine accessories, coolers, filters, harness, and instrumentation transmitters as defined in the appropriate RR DIS.
Hydraulic pump, VSCF and IDG are aircraft supply.
Dry powerplant weight less intake, intake systems, cowl doors, and cowl door support structure.
An inlet cowl is quite heavy.
GE90-76B thru 90B link:
http://rgl.faa.gov/Regulatory_and_Guidance_Library/rgMakeModel.nsf/0/8cf409747c1d7b1b86257823007a1b25/$FILE/E00049EN.pdf
WEIGHT (DRY) Includes basic engine, basic engine accessories, and optional equipment as listed in the manufacturer's engine specifications.
17,400 lbs.