It is hard to know what you are asking since you don't post jpg of the different charts, but I doubt many news feeds use simple MAs on close prices only. I also can't tell if you have tried all the MA options: method (simple, smoothed, etc...), price (close, median, weighted, etc), or the length (how many periods you are using.)
Also there are other times of moving averages, I use Laguerre moving averages which is an entirely different calculation. Like everything in trading, there is no one way of looking at anything.
Forex isn't centralized.
If you have two running instances of MetaTrader with two different brokers, you are likely to see some differences in prices, which results in differences in moving averages.