Mocking a custom node module using jest.mock method - node.js

Question

So, I am new to mocking a module using jest.mock()
So here is the scenario, I have created a node module and uploaded to the private npm registry from where I can that module in my app.
If suppose the name of the module is #a/lp-mod and if this the index.js of that module:
export const lpr = async () => {
// some code that does something and returns some data back
}
export default {
lpr
}
now let us all suppose I need to mock this module (#a/lp-mod) and have to return some static data whenever lpr function is gets called in the context of a test case.
So here is the code I have written:
> proj_directory
|---->__mocks__
| |--->#a
| | |--->lp-mod --> this directory has index.js with mock data
|---->node_modules
| |--->#a
| | |--->lp-mod --> this directory has index.js inside /src
| | |---> src
| | | |---> index.js
|---->test
| |--->1.test.js --->
node_modules/#a/lp-mod/src/index.js
// some npm imports like axios
export const lpr = async () => {
// has some I/O calls, but let's just keep it simple
return Promise.resolve('I am original call')
}
export default {
lpr
}
__mocks__/#a/lp-mod/index.js
const p = jest.genMockFromModule('#a/lp-mod')
p.lpr = () => Promise.resolve('This is mocked call')
export default p
1.test.js
// before describe (test case) I wrote this
jest.mock('#a/lp-mod')
But I am getting undefined when the file is trying to import the original #a/lp-mod module for the usage inside the test context.
As per my expectation, it should get the mocked module and return the data from there only, if I am testing my app.
Please shed some light & bear with me incase some of the info is missing, please let me know in case there is any doubt.
Happy coding :)