Remap Generic grid to lon/lat

I am trying remap interpolation using cdo by:

cdo remapbil,black_sea.mask.nc out.nc out_bs_mask.nc

I got this error:

remapbil (Abort): Unsupported target grid type (generic)!

I guess cdo does not handle with generic type. So, I tried to edit the mask file with "ncatted". But I couldn't remap this "generic" grid to a lonlat. I'd appreciate any suggestions with ncatted or any help.

The information of mask data: (grid coordinates=generic):

# gridID 1
#
gridtype  = generic
gridsize  = 22750
xsize     = 182
ysize     = 125
scanningMode = 64


netcdf black_sea.mask {
dimensions:
    y = 125 ;
    x = 182 ;
variables:
    double lon(y, x) ;
        lon:long_name = "easting of elevation points" ;
        lon:units = "degree" ;
        lon:coords = "east_e north_e" ;
    double mask(y, x) ;
        mask:long_name = "free surface mask" ;
        mask:units = "dimensionless" ;
        mask:coords = "east_e north_e" ;
    double lat(y, x) ;
        lat:long_name = "northing of elevation points" ;
        lat:units = "degree" ;
        lat:coords = "east_e north_e" ;

The information of output data from ISIMIP: (grid coordinates=lonlat):

    # gridID 1
#
gridtype  = lonlat
gridsize  = 64800
xsize     = 360
ysize     = 180
xname     = lon
xlongname = "Longitude"
xunits    = "degrees_east"
yname     = lat
ylongname = "Latitude"
yunits    = "degrees_north"
xfirst    = -179.5
xinc      = 1
yfirst    = 89.5
yinc      = -1
scanningMode = 64

    netcdf out {
dimensions:
    lat = 180 ;
    lon = 360 ;
    time = UNLIMITED ; // (2 currently)
variables:
    double lat(lat) ;
        lat:standard_name = "latitude" ;
        lat:long_name = "Latitude" ;
        lat:units = "degrees_north" ;
        lat:axis = "Y" ;
    double lon(lon) ;
        lon:standard_name = "longitude" ;
        lon:long_name = "Longitude" ;
        lon:units = "degrees_east" ;
        lon:axis = "X" ;
    double time(time) ;
        time:standard_name = "time" ;
        time:long_name = "Time axis" ;
        time:units = "months since 1601-1-1 00:00:00" ;
        time:calendar = "gregorian" ;
        time:axis = "T" ;
    float zmeso-vint(time, lat, lon) ;
        zmeso-vint:_FillValue = 1.e+20f ;
        zmeso-vint:missing_value = 1.e+20f ;
        zmeso-vint:standard_name = "mole_content_of_mesozooplankton_expressed_as_carbon_in_sea_water" ;
        zmeso-vint:long_name = "Mole Content of Mesozooplankton expressed as Carbon in sea water" ;
        zmeso-vint:units = "mol m-2" ;
        zmeso-vint:comment = "vertically integrated over all ocean levels by ISIMIP data management team" ;

I edited attributes for long_name,lat_name,and units to match with out.nc. However, I still have the same error.

Can you try adding attribute "standard_name" and replace units with degrees?

In any case, I am using grid setup like this for one of my applications and it worked with cdo: