How to fix a shapefile reprojected from sinusoidal projection to lat long?

Question

I have been work in convert the MODIS Tiles Grid from sinusoidal projection to lat long projection using python ogr2ogr.

It doens't works well, the shapefile reprojected presents some lines that was not present in the original shape and it produces many mismatching.

Link to donwload the original MODIS Grid Tiles

Any suggestion to fix it?

# my code in command line
ogr2ogr -s_srs "+proj=sinu +lon_0=0 +x_0=0 +y_0=0 +a=6371007.181 +b=6371007.181 +units=m +no_defs" -t_srs EPSG:4326 -f "ESRI Shapefile" "C:/path/tiles_mod.shp" "C:/path/tiles.shp"

The shapefiles reprojected

The original shapefiles in sinusoidal projection:

Processed shapefile using ogr2ogr.