bar.js

module.exports = function () {
    return Promise.reject(new Error("Whoops"))
}

test1.js

const bar = require('./bar')

async function foo() {
    return await bar();
}

async function doFoo() {
    const fooBar = await foo();
    return fooBar;
} 

function foo2() {
    return bar();
}

async function doFoo2() {
    const fooBar = await foo2();
    return fooBar
}

doFoo()
    .then(res => console.log(res))
    .catch(err => console.error(err))

doFoo2()
    .then(res => console.log(res)) 
    .catch(err => console.error(err))

test2.js

const bar = require('./bar')
async function foo1() {
    try {
        await (() => bar())()
    } catch (err) {
        console.log(err)
    }
}

async function foo2() {
    try {
        await (async () => await bar())()
    } catch (err) {
        console.log(err)
    }
}

foo1()
foo2()