Are the concepts of demand for domestic goods and domestic demand for goods the same?

No, the concepts of demand for domestic goods and domestic demand for goods are not same.

Demand for domestic goods means the demand for goods by domestic and foreign consumers.

However domestic demand for goods is the demand for goods produced domestically as well as abroad.

Demand for domestic goods = C + I + G + X – M = Domestic demand for goods + X – M

Domestic demand for goods = C + I + G

Therefore demand for domestic goods is a wider term than domestic demand for goods and includes it.