A simple pure SwiftUI card-style action sheet, that also blurs the background content, with animated transition

CardSheet.swift

//
//  CardSheet.swift
//
//  Created by Andrew Tetlaw on 4/12/21.
//

import SwiftUI

struct CardSheet<SheetContent: View>: ViewModifier {
    @Binding var show: Bool
    @ViewBuilder let sheetContent: () -> SheetContent

    func body(content: Content) -> some View {
        ZStack(alignment: .bottom) {
            content
            if show {
                ContainerRelativeShape()
                    .ignoresSafeArea()
                    .background(.thinMaterial)
                    .onTapGesture {
                        withCardSheetAnimation {
                            show.toggle()
                        }
                    }
                sheetContent()
                    .transition(.opacity.combined(with: .move(edge: .bottom)))
                    .zIndex(1)
            }
        }
    }
}

extension View {
    func cardSheet<SheetContent: View>(show: Binding<Bool>, sheetContent: @escaping () -> SheetContent) -> some View {
        modifier(CardSheet(show: show, sheetContent: sheetContent))
    }
}

extension Animation {
    static var defaultCardSheetAnimation: Animation {
        Animation.easeOut(duration: 0.18)
    }
}

func withCardSheetAnimation<Result>(_ body: () throws -> Result) rethrows -> Result {
    try withAnimation(.defaultCardSheetAnimation, body)
}

In your View:

.cardSheet(show: $showNewEntrySheet) {
    NewEntryForm()
}

You need to set the show binding variable using animation, so it slides up from the bottom, and is dismissed by sliding down:

Show:

withCardSheetAnimation {
    show = true
}

Hide:

withCardSheetAnimation {
    show = false
}

It's automatically dismissed by tapping the background.

And it looks like this:

No need to dive into UIKit and do crazy things...