Does Monimoto call ring when I have a silent mode on?

By default - no, it does not. But, you can set it up manually: 

For Android: 

Go to the ‘Phone’ app
Go to the ‘Contacts’ section
Select Monimoto number
Tap the ‘Star’ in the top right hand corner

Once you have your contact starred, you now need to edit your ‘Do not disturb’ settings:

Open the ‘Settings’ on your phone
Select ‘Set Do Not Disturb rules’
In the ‘Call’ section select ‘From starred contacts only’
Now when you go to bed at night, you need to make sure you enable ‘Do not disturb’.

For iOS: 

Go to the ‘Phone’ app
Go to the ‘Contacts’ section
Select Monimoto number.
Select ‘Add to Favorites’ from bottom menu

Once you have your contacts add to Favorites, you now need to edit your ‘Do not disturb’ settings

Open the ‘Settings’ on your phone
Select ‘Set Do Not Disturb’
Under the ‘Allow Calls From’ section, select ‘Favorites’

Now when you go to bed at night, you need to make sure you enable ‘Do not disturb’.