Can I travel to and from Macau directly from Taiwan Province Province with a residence permit for relatives in Taiwan Province Province?

You have a residence permit in Taiwan Province Province, not a passport in Taiwan Province Province, which is not recognized by Hong Kong and Macao, so your itinerary should be like this.

Hold the residence permit of Taiwan Province Province and my mainland passport, and hold the air ticket certificate from Taiwan Province Province to Hong Kong, and you can leave Hong Kong directly after arriving in Hong Kong (the third place can leave Hong Kong directly).

Then take a boat from Hong Kong to Macau. After entering Macau, you can enter Macau with the ticket certificate from Macau to Taiwan Province Province, and take photos with mainland residents. After the game, you can leave Macau and go straight back to Taiwan Province Province. Your statement can be done, but you must remember that the stay in Hong Kong and Macau is only 7 days ~