mount -t vfat /dev/sda6 /media/FAT32 -o rw,uid=xxx,gid=xxx
sudo mount -t vfat /dev/sda6 /media/FAT32 -o rw,uid=$(id -u),gid=$(id -g)
sudo mount -t vfat /dev/sda6 /media/FAT32 -o uid=1000,gid=1000,umask=022
Without manually mount, an fstab line do the trick,

UUID=1DD9-0D44 /media/exthd/TERABYTE_G vfat rw,noatime,uid=1000,gid=1000,user 0 0

sudo mount -t vfat /dev/sdc1 /media/FAT32 -o rw,uid=$(id -u),gid=$(id -g)