Perhaps Scheins Organization Culture model. Family owned business can inform the 'artefact' construct. Sustainability can become the Espoused Value dependant construct, and introduce Talent Management as a mediating construct.
Among others, you can use Need Theory of David McClelland. But in depicting the significance of the theory to the study, more emphasis should be placed on Achievement Need as it is a gear to promoting family business.
1. Resource-Based View Theory: This theory suggests that family businesses are able to sustain their competitive advantage by leveraging their unique resources, such as family ties, shared values, and a long-term commitment to the business. Talent management practices can help to ensure that these resources are used effectively and efficiently in order to maximize the sustainability of the business.
2. Human Capital Theory: This theory suggests that human capital is a key factor in determining the success of any organization, and that talent management practices can help to ensure that the right people are hired and retained in order to maximize the potential of the business.
3. Organizational Culture Theory: This theory suggests that organizational culture is an important factor in determining how successful an organization is, and that talent management practices can help to create a culture of excellence within a family business which will lead to greater sustainability over time.