What kind of wood is the moulding? As the diameter of your saw blades increase, without blade stabilizers, the chances of "runout" will be greater, particularly in grainy pine and hardwoods.
If you are getting a gap on an image size that small, I would guess that there is something that you have missed in your setup. A visible gap on the inside of a mitered joint on a moulding 2" wide would indicate that either your saw blades aren't entering at a perfect 45º or your underpinner isn't set to a perfect 90º angle.
You said that you bought a "sander". Is it one that is dedicated to truing up 45º miters? I can't imagine that after truing the miters with the sander, you would still be getting a bad joint.
If the saws were mine, I would first check and recheck everything to be on the money, I mean not a minute of variance to either 45º or 90º as applicable. If you find nothing, the next step would be to try 10" blades on the saws, although I doubt that the runout on the 12" blades would be that much unless the wood is very grainy.
Check for play in both of your saws, both at rest and at different points in their path down to the saw tables. There is an outside chance that one or both of the saws have some play in the fulcrum of the saw. These saws, commonly referred to as contractor's chop saws, are accurate enough to size a 2x4 to dimension for a stud wall. They may not do much more than that unless you tweak them to bring them into more accurate calibration.
Did you check the vertical alignment of each blade to the table. Each blade should hold a 90º angle to its respective table from rest to the extent of its stroke downward.
Each of these checks mentioned have a place that you can use shimstock to correct any inaccuracies. (I cut apart a Pepsi can for a few of my shims when I tore down my Makitas and "accurized" them. If done right, you will only have to do it once.
Framerguy