Simeon was “looking for the restoration of Israel, and the Holy Spirit was upon him” (Luke 2:25 NET). In Acts the apostles are doing the same, when they ask the Lord about the kingdom being restored to Israel (Acts 1:6), and are “filled with the Holy Spirit” (Acts 2:4). This would appear to constitute another connection in Luke-Acts, written by the same author.
It should be noted, however, that “restoration” in Luke 2:25 (“consolation,” NASB, NIV, ESV, NRSV) is from a different family group than the verb “restore” in Acts 1:6. But this subjective side (TDNT I:391) of the expected restoration appears also in Acts 3:20-21:*
“so that times of refreshing may come from the presence of the Lord and so that he may send you Jesus, the Christ whom he appointed long ago. Heaven must receive him until the time of universal restoration that God announced long ago through the voice of his holy prophets.”
Though the correspondences of vocabulary may not be exact, there would appear to be a thematic connection at the beginning of the two volumes of this author.
*TDNT (IX:664) makes this connection explicitly.