Both of you arrive in Aurangabad by early morning trains or buses and meet at the station; this saves daytime travel and gives you a full first day together.
Often called the 'Taj of the Deccan', Bibi Ka Maqbara is a beautiful marble mausoleum worth 45–60 minutes for photos and a romantic stroll. Open 8:00am–6:00pm.
Visit the nearby Aurangabad Caves (open ~9:00am–5:30pm) for quick rock-cut sculptures, or browse Himroo and Paithani fabrics in local shops for souvenirs.
Have an early packed/buffet breakfast and depart by booked local taxi or shared vehicle to Ellora to maximize daylight hours; Ellora is about 30–40 minutes from the city center.
Drive 20–30 minutes to Daulatabad Fort to climb the impressive hill fort, see the Chand Minar and the complex defenses; open ~10:00am–6:00pm. Plan 1.5–2 hours for exploration.
On the return route, visit the nearby Grishneshwar Jyotirlinga temple for a peaceful short visit and great photo ops; open early morning till late evening.
Stroll through the city market for small souvenirs (Himroo scarves, Paithani prints) or visit the local museum for a quick cultural glimpse; markets usually open by 9:00am.