The elixir is more of a healer, sanguine is more of an added boost of zen & sanguine to your life.
If you want to feel calm, run sanguine.
If you want to drill down on healing the things stopping you from being calm, happy, and joyful in the present moment, run Elixir.
They’re both “feel good” titles though.
Sanguine has a side effect of reducing recon from a stack.
Elixir has a side effect of removing the “blocks” that stop you from fully expressing other subs. For example, my wealth manifestations were stronger with HOM + Elixir opposed to solo HOM. The elixir helped me heal the things coming up from HOM that I needed to heal