TF greater than 1 hour make differences.
As for the DAILY chart, FXCM closes it at 23cet (utc+2) which is 17:00 in NY, while IG closes it at 01:00cet (utc+2) which is 19:00 in NY, so there’s a 2-hour difference, thus the closing prices will not be the same and any MA will ensue!
To spot any real difference compare them on a 1-minute or 1-hour TF. Though some differences may still affect prices. If one broker receives a price at 06:59:59 and another one receives it at 06:59:57, closing prices will be slightly different and so will MAs.