Is Profits earned by a company in India which is owned by a non-resident included/excluded in domestic income of India?

Yes,

Profits earned by a company in India which is owned by a non-resident will be included in the domestic factor income as profits are earned within the domestic territory of India.

Explanation:-

The profits earned by the residents and non-residents (foreign companies) within the domestic territory of India is included in the domestic income.

All incomes and profits generated by all within the domestic territory of India will be included in the domestic income of India.