The established practice among all of Israel is to recite Parashat HaTamid each day before the morning prayer, because — as Shulchan Arukh HaRav, Orach Chayim 48:1–3 explains — through this reading God considers it as though one had offered the daily tamid offering in its proper time.
The Talmudic grounding for this daily reading is the teaching cited by the Arukh HaShulchan (Orach Chaim 48) and the Tur (Orach Chayim 48): God told Avraham that even after the Beit HaMikdash is destroyed, as long as the Jewish people engage with the order of the korbanot, He will count it as though they had actually offered them and forgive their sins.
The sources address only a single daily recitation before Shacharit — not a repetition before Mincha — though Shulchan Arukh HaRav, Orach Chayim 48:1–3 and Shulchan Arukh, Orach Chayim 48 do permit, and even prescribe, repeating Parashat HaTamid a second time together with the congregation if one already said it privately at home, with the second reading understood simply as Torah reading rather than a second "offering."
The Mishnah Berurah (48) adds that mere word-recitation is insufficient; one should strive to understand the subject matter, since the Gemara's promise that "one who engages in Parashat HaOlah" applies to genuine engagement with its meaning, not rote utterance of words.