Reapply *some* stickers on scrambled cube

Question

I have this weird cube which have some pieces printed on the plastic and some are detachable. The cube was scrambled not solved and it fell on the floor being cheap cube almost all detachable faces fell off and I ended up with this ugly monster.

Here, More photos and a video of the cube state

This is the text version of the cube

    RGM
    RMO
    MOM
MMW RMR YMO BMB
OMW MMM RMM OMM
YMY MGO GMM WRM
    OMM
    RMB
    OMR 

I replaced every missing piece with M.

In total I have 6 colors for the 6 centers and 5 pieces of each (White, Blue, Green and Yellow)

I thought this would be a fun little challenge for me to solve but I spent a lot of time configuring corners and edges and turns to be unsolvable scramble in the end.

Is this even possible to figure out and have the stickers back in logical way? I'm not like a cube master or anything to figure that out on my own.

Answer 1

This is not a full solution, but some observations that may help get you there.

All the moving pieces still have an orange or red facelet. Therefore red is opposite orange. If you place the four orange corners relative to each other, they only go one way and therefore determine the colour scheme and hence the corners colours, too. We can also put in the centres according to the colour scheme (it does not matter which orientation - there can be no parity problem due to the identical edges) and that results in the following:

         R G w
         R o O
         g O g
 y . W   R . R   Y . O   B . B
 O b W   . w .   R g .   O y .
 Y . Y   g G O   G . b   W R b
         O . w
         R r B
         O . R

You can then try to solve it without putting any further colours in. It should be possible to do this, though I have not checked. A corners first solution method is very useful for this.