RateMe.js

function RateMe(ios_url, goog_url, usecount) {
	if(!Ti.App.Properties.hasProperty('RemindToRate')) {
		Ti.App.Properties.setString('RemindToRate', 0);
	}
	var remindCountAsInt = parseInt(Ti.App.Properties.getString('RemindToRate'), 10);
	var newRemindCount = remindCountAsInt + 1;

	if(remindCountAsInt === -1) {
		// the user has either rated the app already, or has opted to never be
		// reminded again.
		return false;
	} else if(newRemindCount < usecount) {
		Ti.App.Properties.setString('RemindToRate', newRemindCount);
	} else if(newRemindCount >= usecount) {
		var alertDialog = Titanium.UI.createAlertDialog({
			title : 'Please rate this app!',
			message : 'Would you take a moment to rate this app?',
			buttonNames : ['OK', 'Remind Me Later', 'Never'],
			cancel : 2
		});
		alertDialog.addEventListener('click', function(evt) {
			switch (evt.index) {
				case 0:
					// "Ok" - open the appropriate rating URL, and set flag to never
					// ask again
					Ti.App.Properties.setString('RemindToRate', -1);
					if(Ti.Android) {
						Ti.Platform.openURL(goog_url);
					} else {
						Ti.Platform.openURL(ios_url);
					}
					break;
				case 1:
					// "Remind Me Later"? Ok, we'll reset the current count to zero
					Ti.App.Properties.setString('RemindToRate', 0);
					break;
				case 2:
					// "Never" - Set the flag to -1, to never ask again
					Ti.App.Properties.setString('RemindToRate', -1);
					break;
			}
		});
		alertDialog.show();
	}
}

function iOSURLFromAppId(appId) {
	return 'itms-apps://itunes.apple.com/WebObjects/MZStore.woa/wa/viewContentsUserReviews?id=' + appId + '&onlyLatestVersion=true&pageNumber=0&sortOrdering=1&type=Purple+Software';
}

function googURLFromAppId(appId) {
	return 'market://details?id=' + appId;
}

exports.checkNow = RateMe;
exports.iOSURLFromAppId = iOSURLFromAppId;
exports.googURLFromAppId = googURLFromAppId;

Sample Implementation

var RateMe = require('RateMe');
var iOSURL = RateMe.iOSURLFromAppId('384080636');
var googURL = RateMe.googURLFromAppId('couk.mmtdigital.orion.ianrankin');

RateMe.checkNow(iOSURL, googURL, 1);

a1g0rithm Once user has gone pass the app and in review UI of iTunes then you don't get information if he did or didn't rated.
These dialogue are to take user to rating screen but cannot control if they rated or not