Put this in its own Gradle module to have ModalBottomSheet in Material3 (or even without Material Design at all).

build.gradle.kts

// Uses refreshVersions, the easiest way to add KotlinX and AndroidX libs, AND keep them up to date.
// See https://github.com/jmfayard/refreshVersions

import de.fayard.refreshVersions.core.versionFor

plugins {
    kotlin("android")
    id("com.android.library")
}

android {
    namespace = "com.louiscad.splitties.ui.bottomsheet"
    buildFeatures.compose = true
    composeOptions {
        kotlinCompilerExtensionVersion = versionFor(AndroidX.compose.compiler)
    }
    
    //region Boilerplate (put it in a precompiled script if possible)
    compileSdk = 33
    defaultConfig {
        minSdk = 23
    }
    buildTypes {
        getByName("release").isMinifyEnabled = false
    }
    compileOptions {
        sourceCompatibility = JavaVersion.VERSION_1_8
        targetCompatibility = JavaVersion.VERSION_1_8
    }
    //endregion
}

dependencies {
    api(AndroidX.compose.runtime)
    api(AndroidX.compose.ui)
    implementation(AndroidX.compose.material)
    implementation(AndroidX.activity.compose)
}

ModalBottomSheet.kt

package com.louiscad.splitties.eap.bottomsheet

import android.app.Activity
import android.view.ViewGroup
import androidx.activity.compose.BackHandler
import androidx.compose.material.ExperimentalMaterialApi
import androidx.compose.material.ModalBottomSheetLayout
import androidx.compose.runtime.Composable
import androidx.compose.runtime.DisposableEffect
import androidx.compose.runtime.getValue
import androidx.compose.runtime.mutableStateOf
import androidx.compose.runtime.remember
import androidx.compose.runtime.rememberCompositionContext
import androidx.compose.runtime.rememberCoroutineScope
import androidx.compose.runtime.setValue
import androidx.compose.ui.graphics.Color
import androidx.compose.ui.platform.ComposeView
import androidx.compose.ui.platform.LocalContext
import kotlinx.coroutines.*

@OptIn(ExperimentalMaterialApi::class)
@Composable
fun ModalBottomSheet(
    modalState: ModalState,
    content: @Composable () -> Unit
) {
    val context = LocalContext.current
    val contentView: ViewGroup = remember {
        val activity = context as Activity
        activity.findViewById(android.R.id.content) as ViewGroup
    }
    val coroutineScope = rememberCoroutineScope()
    val compositionContext = rememberCompositionContext()

    val internalState: ModalStateImpl
    val state = when (modalState) {
        is ModalStateImpl -> {
            internalState = modalState
            modalState._state
        }
    }

    val shouldBeVisible =
        modalState.isAtLeastPartiallyVisible || internalState.hasPendingShowRequests
    var lastComposeView: ComposeView? by remember { mutableStateOf(null) }
    val composeView = remember(shouldBeVisible, compositionContext) {
        lastComposeView?.let { contentView.removeView(it) }
        val newView: ComposeView? = when {
            shouldBeVisible -> ComposeView(contentView.context).also {
                it.setParentCompositionContext(compositionContext)
                contentView.addView(it)
            }
            else -> {
                null
            }
        }
        lastComposeView = newView
        newView
    }
    DisposableEffect(composeView, content as Any) {
        composeView?.setContent {
            ModalBottomSheetLayout(
                sheetBackgroundColor = Color.Transparent,
                sheetState = state,
                sheetContent = {
                    content()
                }
            ) {}
        }
        onDispose {}
    }
    DisposableEffect(Unit) {
        onDispose { composeView?.let { contentView.removeView(it) } }
    }
    BackHandler(enabled = state.isShownOrShowing) {
        coroutineScope.launch { modalState.hide() }
    }
}

ModalBottomSheetState.kt

package com.louiscad.splitties.eap.bottomsheet

import androidx.compose.material.ExperimentalMaterialApi
import androidx.compose.material.ModalBottomSheetState
import androidx.compose.material.ModalBottomSheetValue

@ExperimentalMaterialApi
val ModalBottomSheetState.isAtLeastPartiallyVisible: Boolean
    get() = progress.from != ModalBottomSheetValue.Hidden ||
            progress.to != ModalBottomSheetValue.Hidden

@ExperimentalMaterialApi
val ModalBottomSheetState.isShownOrShowing: Boolean
    get() = targetValue != ModalBottomSheetValue.Hidden

@ExperimentalMaterialApi
val ModalBottomSheetState.isHiddenOrHiding: Boolean
    get() = targetValue == ModalBottomSheetValue.Hidden

ModalState.kt

package com.louiscad.splitties.eap.bottomsheet

import androidx.compose.material.ExperimentalMaterialApi
import androidx.compose.material.ModalBottomSheetState
import androidx.compose.material.ModalBottomSheetValue
import androidx.compose.material.rememberModalBottomSheetState
import androidx.compose.runtime.Composable
import androidx.compose.runtime.Stable
import androidx.compose.runtime.derivedStateOf
import androidx.compose.runtime.getValue
import androidx.compose.runtime.mutableStateOf
import androidx.compose.runtime.remember
import androidx.compose.runtime.setValue

@OptIn(ExperimentalMaterialApi::class)
@Composable
fun rememberModalState(): ModalState {
    val bottomSheetState = rememberModalBottomSheetState(ModalBottomSheetValue.Hidden)
    return remember(bottomSheetState) { ModalStateImpl(bottomSheetState) }
}

@Stable
sealed interface ModalState {
    val isVisible: Boolean
    val isAtLeastPartiallyVisible: Boolean
    val isShownOrShowing: Boolean
    val isHiddenOrHiding: Boolean
    suspend fun hide()
    suspend fun show()
}

@Stable
@ExperimentalMaterialApi
internal class ModalStateImpl(
    val _state: ModalBottomSheetState
) : ModalState {
    override val isVisible: Boolean get() = _state.isVisible
    override val isAtLeastPartiallyVisible: Boolean get() = _state.isAtLeastPartiallyVisible
    override val isShownOrShowing: Boolean get() = _state.isShownOrShowing
    override val isHiddenOrHiding: Boolean get() = _state.isHiddenOrHiding

    override suspend fun hide() = _state.hide()
    override suspend fun show() {
        try {
            showRequestsPendingCount++
            _state.show()
        } finally {
            showRequestsPendingCount--
        }
    }

    override fun toString(): String = buildString {
        appendLine("isVisible: " + _state.isVisible.toString())
        appendLine("currentValue: " + _state.currentValue.toString())
        appendLine("targetValue: " + _state.targetValue.toString())
        appendLine("isAnimationRunning: " + _state.isAnimationRunning.toString())
    }

    var showRequestsPendingCount by mutableStateOf(0)
    val hasPendingShowRequests by derivedStateOf { showRequestsPendingCount > 0 }
}

TheBottomSheetExample.kt

package com.louiscad.splitties.eap.bottomsheet.example

@Composable
fun BottomSheetExample() {
    val modalState = rememberModalState()
    val coroutineScope = rememberCoroutineScope()
    Button(
        onClick = { coroutineScope.launch { modalState.show() } }
    ) {
        Text("Open the bottom sheet!")
    }
    ModalBottomSheet(modalState = modalState) {
        Surface {
            Text("Your content here")
            Button(
                onClick = { coroutineScope.launch { modalState.hide() }
            ) { Text("Dismiss it!") }
            Spacer(Modifier.navigationBarsPadding())
        }
    }
}