Gouge in wooden floor

Either coloured wax,rubbed across affected area, repair stick or colored wood filler

You may consider the option of hiring a heavy floor sander

You can mix some wax to get your colour… and it’ll be the easiest way to fix it…

If it is a solid wood engineered floor. You could potentially steam the areas to raise the grain and lift the gouges. Dribble or spray some water over area cover with cotton rag and momentarily place hot iron over wet rag to heat and steam affected area. This will cause the timber to swell and fill the gouges. May need to repeat a few times.