Winger Orlandi came off during the 1-0 win over Reading on Saturday with a slight thigh problem and defender Taylor suffered a twisted ankle.
Mark Gower and Albert Serran are likely to replace the pair in the starting line-up, but defender Alan Tate will miss out again through suspension as his team go in search of their third successive victory.
Rodgers said: "Perhaps people can see now why we have to rotate the team with so many games in such a short period of time."
Source: PA
Source: PA