Default How to Improve Notification speed?

I've noticed that my Note 3 doesn't always have instant notifciations. Could this be because of Deep Sleep feaeture in 4.4.2? Im running Omni ROm 7.1 which is based on the NA6 official KitKat rom..

I've tried PNF (Push Notification Fixer App) but it doesn't really help. It's Skype and Facebook. Sometimes it's instant but most of the time it's not.

Anyone else having this issues or know a possible solution?

Follow UP Question: How long does it take when Screen is Off for Phone to go on deep sleep? and is there anyway to disable it?