Vuetify 2 toolbar ans 1 navigation drawer with 1 toolbar above the navigation drawer

I would first add clipped-left to the first toolbar and move it under the navigation-drawer like so.

<template>
  <v-app>
    <v-navigation-drawer app fixed permanent>
      <v-toolbar></v-toolbar>
      <v-toolbar flat>
        <v-list>
          <v-list-tile>
            <v-list-tile-title class="title">Filter</v-list-tile-title>
          </v-list-tile>
        </v-list>
      </v-toolbar>
    </v-navigation-drawer>

    <v-toolbar app clipped-left class="elevation-1">
      <span>Toolbar1</span>
    </v-toolbar>

    <v-toolbar app class="mt-5 elevation-1" style="top: 16px">
      <span>Toolbar2</span>
    </v-toolbar>

    <v-content class="mt-5">
      <HomePage/>
    </v-content>
  </v-app>
</template>

Though, I strongly advice you to get familiar with the available props on the Vuetify documentation (regarding those 2 components) to be able to get exactly what you want

• Navigation Drawer
• Toolbar

---

Update

I did some ugly fixes to the previous answer to handle the responsiveness and clean the code a bit.

<template>
  <v-app>
    <v-navigation-drawer clipped permanent app>
      <v-list>
        <v-list-tile>
          <v-list-tile-title class="title">Menu Item #1</v-list-tile-title>
        </v-list-tile>
      </v-list>
    </v-navigation-drawer>

    <v-toolbar clipped-left app>
      <span>Toolbar</span>
    </v-toolbar>

    <v-toolbar class="mt-5" :style="$vuetify.breakpoint.smAndDown ? 'top: 8px' : 'top: 16px'" app>
      <span>SubToolbar</span>
    </v-toolbar>

    <v-content :style="$vuetify.breakpoint.smAndDown ? 'padding-top: 112px' : 'padding-top: 128px'">
      <v-container fluid>
        Content
        <!-- <router-view></router-view> -->
      </v-container>
    </v-content>
  </v-app>
</template>