I'm working on spending my focus time with him in the mornings, I admit though that half the time I don't make it... It's hard for me to wake up by 4:30 am everyday lol. But God continues to inspire me to keep trying.
But I chat and pray to him thru out the day. Read my bible at work during my break if I get a chance. Go to evening church stuff. I love listening to christian radio. Ever since I stopped listening to the secular radio channels And found christian radio it has been awesome, since it's a 30 minute drive... Get sermons and worship that way too.
I usually read scripture before I go to bed as well. Some days we have family meetings to focus on what God has for our family.
I definitely do not think God frowns on us if we fall asleep during our time with him... But God should be #1 priority, as even Jesus would wake up before everyone else did to spend time with the Lord. What it does show us is our priorities... Like... How come you fell asleep? What did you spend your energy on that leaves no more energy for God? Or how can I go to bed earlier so that I can wake up more refreshed to spend time with God so that I don't fall asleep? I think we should always strive for our best with God, not because of works, but the more time you spend and focus on him the more blessed and aware you will be of his presence in your daily life.