Both the reading passage and the lecturer deal with archaeology in England. Whereas the reading passage suggests that archaeology in England is facing a huge crisis, the lecturer casts doubts on the reading passage's assumptions by pointing out a few flaws of the these assumptions.
To start with, the reading passage contends that the construction companies are now unintentionally destroying the archaeological remains, in response to an increasing population. However, the lecturer counters this opinion by pointing out that these day's these days’ construction companies are very careful to expand (expand what?) into undeveloped land. Since they are in responsible of remunerating the loss of historical remnants, they conduct meticulous examine prior to the construction to prevent any harms to the remains.
Secondly, the reading passage asserts that money for archaeological research is running out, resulting from the lack of funding from the government. However, the lecturer disagrees with this argument because in these days, not only the government supports the archaeology of England, but also private companies are sponsoring the archaeology, indicating that lack of resources is highly unlikely. (use the same verb tense in a sentence: government support and companies sponsor/government are supporting and companies are sponsoring)
Lastly, the reading passage claims that there are not many jobs left for graduate students who majored in archaeology. However, the lecturer argues that the reading passage's assumption is unfounded. Since there are budding commercial archaeology firms, in addition (you are just making a list) grants and programs from college to support graduate student, there is no need to be desperate or feel anxious about the future.
Try to maintain same verb tense in your sentence.