G.K.
At two months, I started to help my son into a proper routine where he feeds more and stays awake more during the day and sleeps better at night. There are few things that worked for me:
1. I would interact with him more and not let him sleep after 5-6 pm.
2. Made sure he gets a full feed before he is put to bed. You can give him some formula before he goes to bed to ensure he is full. It also helps the transition to formula easy later on and doesnt hurt at all.
3. Started a night time routine where I would give him a massage, a warm bath, story time/lullabye, put on a soothing CD and then a night feed and put him to bed.
4. When he wakes up an night, I would NOT interact with him AT ALL. No talking, no turning on the light. Just give him the feed and encourage him to go back to sleep. Even if he stays awale for a while, dont talk or interact. He will eventually get it that night time is not play time.
I stuck to this for about 2-3 weeks without very encouraging results but then it all started to work. Soon, he was sleeping through the night waking only once or twice and even then, most of the times, he would go back to sleep while he was woking on his bottle.
All kids are different but I hope this works for you. It is worth a try.