You have to remember that 220/221 comes from a farm background. His mother was 24" tall and could wagon 500 square bales a day by herself.... while 221 drove the tractor...
Actually he has told you how it is done but it is very common to see your very question on DIY forums.
You do not have to twist the wires before putting them into the wirenut. Some do some don't....it's a long story.
I suspect you may be a little short in length for the wires. If you are short or not and are having difficulty go to HD or Lowes and get some of these..
You simply strip the wire and push them into these connectors. You can buy them in several configurations up to 8 wires. However if your using stranded wire I don't believe any will accept 14 awg that is stranded. If your using nm-b (romex) then your fine.