I think it will be fun if community talk about this. Why? Why would I say this, its because that B77W use its “personal” engine which is made from GE and A350 XWB use its “personal” engine which is made from RR.
Yes Boeing does mainly use GE engines on their planes and airbus mainly uses the Trent engines on their planes. But on some planes like the 757, boeing has options.
I really like the Rolls Royce Trent 100 engines, mainly for two reasons. The 787 used them and there’s a really good HD documentary on them. But GE makes the 777X engines, so I’m caught between the two of them.