If you put a v-model in a child-component, How to do two-way data-binding with parent-component

I am writing the vuesax framework.
For input, the value value can only be obtained by using the v-model.
In my case, I have to use it in child-component.
If there is a v-model in child-component, is there a way to do two-way data-binding with parent-component?

https://lusaxweb.github.io/vuesax/components/input.html#size

child component

<template>
 <div>
  <vs-input type="text" v-model="input1" @input="$emit('update:input1', $event.target.value)" :value="input1" placeholder="input1"/>
  <vs-input type="text" v-model="input2" @input="$emit('update:input2', $event.target.value)" :value="input2" placeholder="input2"/>
 </div>
</template>
<script>
 export default {
  props: {
   input1: {
    type: String,
    default: '',
   },
   input2: {
    type: String,
    default: '',
   },
  },
 };
</script>

parent component

<template>
 <div>
  <form>
   <Test2
    v-model:inuput1="inuput1" 
    v-model:inuput2="inuput2" 
   />
   <div class="bottom" @click="handleSubmit">
    <button>submit</button>
   </div>
  </form>
 </div>
</template>

<script>
 import Test2 from '@/Test/Test2.vue'
 import { createPost } from '@/services/posts'
 import { ref } from "vue";
 export default {
  components: { Test2 },
  setup() {
   const inuput1 = ref("");
   const inuput2 = ref("");
   return { inuput1, inuput2 };
  },
  inject: ['GStore'],
  data() {
   return {
    userData: this.GStore.session,
   }
  },
  methods: {
   handleSubmit(e) {
    e.preventDefault()
    const id = this.userData.id
    const formdata = new FormData()
    formdata.append('userId', id)
    formdata.append('inuput1', this.inuput1)
    formdata.append('inuput2', this.inuput2)
    if (this.mainoutput) formdata.append("image", this.mainoutput);
    this.$el.querySelector('button').classList.add('is-loading')
    createPost(formdata).then((res) => {
     res.user.name = this.userData.name
     this.$el.querySelector('button').classList.remove('is-loading')
     this.$router.push({path:'/profile'})
    })
   },
  },
 }
</script>