When the filler dries you will be able to sand it even with the molding.
How to fix floor molding.
If you see some cut a few braces from 4 to 6 in.
First hold the base molding against the wall after you cut it to length and look for gaps.
Nail the shoe molding into place with 2 penny finishing nails driven through the molding into the floor.
Apply wood filler with your putty knife apply wood filler.
Then apply construction adhesive at the top and bottom.
Wear safety glasses and use a putty knife to remove any molding or baseboards around the perimeter of the damaged area.
First remove all obstacles vacuum clean the area before applying the caulk and paint the skirting board mopboard floor molding or base molding.
Pry up the boards starting at the wall until you get to the damaged ones.
Sink all nails with a nail set.
Lengths of scrap baseboard and put 45 degree angles on the ends.
Replace them one by one as needed.
Set nails about 12 inches apart.
Caulking the gaps in trim joints and the gap between flooring baseboards improve water impermeability of the floor.
Make sure the floor is completely dry before you begin the repairs.