Your mother's high HbA1c suggests her diabetes control needs improvement. What medication she should add depends on what her sugar levels are like (one set of F/PP values is just not enough); what her weight is, and how much she is exercising. These days we do not recommend any specific diet for diabetics: just a sensible, balanced diet which meets the individual persons needs.
Keeping her fracture in mind, she should get a bone mineral density checked with the DXA scan, and also her serum calcium, phophorus and alkaline phosphatase levels. She needs to make sure she is taking regular (at least 1, perhaps 2 tablets per day) calcium and vitamin D supplements; plenty of low fat milk and low fat milk preparations, and some sun exposure to the skin. In addition, she should make sure she is walking regularly, at least 30-40 minutes over the course of a day. Once her wrist heals, she should also exercise her arms too. In addition, she needs plenty of fruits and salads, and low fat in cooking, with some reduction in fried snacks, and sufficient water. So does everyone else in your family!