Hello! I will start with Mughal architecture:
1) The Mughals built mostly mausoleums, mosques, palaces, and forts. The Mughals were influenced by Hindu/Muslim and Persian styles. This is known as Indo-Islamic architecture.
2) Mughal architecture featured domes, minarets with cupolas, grandly constructed gateways, and ornamental design.
3) White marble was greatly favored as building material, followed by red sandstone.
4) The charbagh or garden is divided into four parts.
5) There is an extensive use of tile work.
For more on the characteristics of Mughal architecture (with pictures), consider these details and images of Mughal architecture, complete with descriptions of its characteristics.
1) The main inspiration for Renaissance architecture was Greek and Roman architecture. Liberal use of Doric, Ionic, and Corinthian orders highlighted the principles of Humanism.
2) Renaissance architecture featured mainly churches, chapels, cathedrals, palazzos (urban mansions), and villas (country mansions).
3) Buildings featured the harmony and mathematical proportion inherent in planar classicism (flat classicism). Walls were embellished with classical motifs (columns, arches, etc.).
4) Brunelleschi's octagonal dome of the Florence Cathedral featured a "true masterpiece of structural engineering, carefully designed to spread the load without creating stress."
5) The facades of buildings were often divided into rectangular sections, and each section featured an arched window. Circular elements above windows were greatly favored, as the circle was considered a perfect shape.
Further descriptions and images will be useful.
I hope the above is helpful to you. Thanks for the question!