tm.yml

# /home/jesuiswk/.config/tmuxinator/tm.yml

name: tm
root: ~/Documents/ThirtyMadison/

# Optional tmux socket
# socket_name: foo

# Note that the pre and post options have been deprecated and will be replaced by
# project hooks.

# Project hooks

# Runs on project start, always
# on_project_start: command

# Run on project start, the first time
# on_project_first_start: command

# Run on project start, after the first time
# on_project_restart: command

# Run on project exit ( detaching from tmux session )
# on_project_exit: command

# Run on project stop
# on_project_stop: command

# Runs in each window and pane before window/pane specific commands. Useful for setting up interpreter versions.
# pre_window: rbenv shell 2.0.0-p247

# Pass command line options to tmux. Useful for specifying a different tmux.conf.
# tmux_options: -f ~/.tmux.mac.conf

# Change the command to call tmux.  This can be used by derivatives/wrappers like byobu.
# tmux_command: byobu

# Specifies (by name or index) which window will be selected on project startup. If not set, the first window is used.
# startup_window: editor

# Specifies (by index) which pane of the specified window will be selected on project startup. If not set, the first pane is used.
# startup_pane: 1

# Controls whether the tmux session should be attached to automatically. Defaults to true.
# attach: false

windows:
  - editor:
      root: ~/Documents/ThirtyMadison/doctors_portal
      layout: main-vertical
      # Synchronize all panes of this window, can be enabled before or after the pane commands run.
      # 'before' represents legacy functionality and will be deprecated in a future release, in favour of 'after'
      # synchronize: after
      panes:
        - vim
        - 
  - server:
      layout: even-horizontal
      panes: 
          - platform:
              - cd platform
              - docker-compose up -d db
              - yarn start
          - oauth:
              - cd tm_oauth_provider
              - rails s
          - api:
              - cd doctor_api
              - docker-compose up -d db redis
              - rails s
          - portal:
              - cd doctors_portal
              - yarn start
  - workers: 
      root: ~/Documents/ThirtyMadison/platform
      layout: main-vertical
      panes:
          - QUEUE=kmg_syncs bundle exec rake resque:work
          - QUEUE=kmg_syncs bundle exec rake resque:scheduler

I think you can also feed docker-compose multiple yaml files. Though I don't know whether it figures out the networking automatically for you.