Hello Gokhan. Thank you for your response. I am sharing that response in English because if there is someone else want to have same question as you have i think that would be helpful to everyone.

You asked me to release new article about the new versions of expo and expo-google-app-auth.

I look at the release notes at the latest version of expo but they are still using the same functionality for this process.

import { Google } from 'expo';

const config = {
  expoClientId: `<YOUR_WEB_CLIENT_ID>`,
  iosClientId: `<YOUR_IOS_CLIENT_ID>`,
  androidClientId: `<YOUR_ANDROID_CLIENT_ID>`,
  iosStandaloneAppClientId: `<YOUR_IOS_CLIENT_ID>`,
  androidStandaloneAppClientId: `<YOUR_ANDROID_CLIENT_ID>`,
};
const { type, accessToken } = await Google.logInAsync(config);

if (type === 'success') {
  /* Log-Out */
  await Google.logOutAsync({ accessToken, ...config });
  /* `accessToken` is now invalid and cannot be used to get data from the Google API with HTTP requests */
}

That is the another example i can give you about that topic and i suggest you to look at the documentation https://docs.expo.io/versions/latest/sdk/google/

Please let me know if you have any another questions later on.