I continue experience problems ,with check charging system 2008 Ford Explorer cut off while driving or stopping at light or intersection,alternator and battery replaced ,continue experience issue

Does it cut off hard, like someone flipped a switch? Look for breaks in the battery wire harness, check terminals at battery for "opens", check for a bad ground. This is something a dealership would have checked, so if they didn't find it, it may be intermittent. sometimes you have to wait for an intermittent fault to turn into a hard fault before finding it. This is assuming the problem isn't in a module, which requires a dealer scan tool to find.