the background fit (interpolation across absorption edges) - how I can check the issue?
off-peak interferences - checked, there are not
what else?
Please utilize the "quote" feature to make your context clear as I have here and as shown in your previous post.
With the normal (on-peak) MAN method both of these issues disappear, but one requires standards that are high purity. So your best bet is to obtain better (high purity) standards, but for oxygen that is difficult because most materials have at least trace levels of oxygen, which is why I suggest you do not attempt the MAN method for oxygen.
At the very least, avoid standards for oxygen background by MAN that contain major oxygen! 
If you must use MAN for oxygen I would start with high sensitivity wavescans to check the background regions and try to avoid absorption edges but it is almost impossible to see these spectral details since the peak region is obscured by the major oxygen peak. Again,
I would utilize materials that do not contain oxygen! Then the absorption edges will be more visible in your wavescans.
Think about your strategy when using the MAN method: ideally you want to select standards that
do not contain the element of interest, and that
also cover the range of average atomic number that your standards and unknowns.
Yes, with the interpolated off-peak MAN method, one
can utilize standards that contain (major amounts of) the element of interest. But that doesn't mean that you
should!

I suggest using a number of materials that do not contain oxygen (e.g., pure metals or sulfides, etc.), and because they will probably still contain some small amounts of oxygen (from oxidation), use the interpolated (off-peak) MAN method as you are doing.
Just get rid of the standards that contain
major oxygen (for the oxygen MAN background calibration) and see if that works better!